熊谷 隆

最終更新日時: 2020/07/18 16:38:20

印刷する

氏名(漢字/フリガナ/アルファベット表記)
熊谷 隆/クマガイ タカシ/Kumagai, Takashi
所属部署・職名(部局/所属/講座等/職名)
数理解析研究所/無限解析研究部門/教授
協力講座
部局 所属 講座等 職名
理学研究科 数学・数理解析専攻 解析数理講座 教授
所属学会(国内)
学会名(日本語) 学会名(英語)
日本数学会 Mathematical Society of Japan
所属学会(海外)
学会名(英語) 国名
Institute of Mathematical Statistics USA
取得学位
学位名(日本語) 学位名(英語) 大学(日本語) 大学(英語) 取得区分
理学修士 Master of Science 京都大学 Kyoto University
博士(理学) Ph.D., Science 京都大学 Kyoto University
出身大学院・研究科等
大学名(日本語) 大学名(英語) 研究科名(日本語) 研究科名(英語) 専攻名(日本語) 専攻名(英語) 修了区分
京都大学 Kyoto University Graduate School 大学院理学研究科修士課程数学専攻 Graduate School of Science 修了
出身学校・専攻等
大学名(日本語) 大学名(英語) 学部名(日本語) 学部名(英語) 学科名(日本語) 学科名(英語) 卒業区分
京都大学 Kyoto University 理学部 Faculty of Science 卒業
出身高等学校
高等学校名 ふりがな
山口県立山口高等学校 やまぐちけんりつやまぐちこうとうがっこう
職歴
期間 組織名(日本語) 組織名(英語) 職名(日本語) 職名(英語)
1991/04/01〜1994/03/31 大阪大学理学部数学教室 Osaka University, Faculty of Science 助手 Research Associate
1995/04/01〜1998/04/07 名古屋大学大学院多元数理科学研究科 Graduate School of Mathematics, Nagoya University 助教授 Associate Professor
1998/04/08〜2001/03/31 京都大学大学院情報学研究科 Graduate school of informatics, Kyoto University 助教授 Associate Professor
2001/04/01〜2007/03/31 京都大学数理解析研究所 RIMS, Kyoto University 助教授 Associate Professor
2007/04/01〜2010/09/30 京都大学大学院理学研究科数学教室 Department of Mathematics, Kyoto University 教授 Professor
2010/10/01〜 京都大学数理解析研究所 RIMS, Kyoto University 教授 Professor
プロフィール
(日本語)
確率論を研究しています。特に、フラクタルをはじめとする複雑な系の上のマルコフ連鎖や拡散過程の研究を行っています。また、飛躍型確率過程の確率論的ポテンシャル論の研究も行っています。詳しくは、私のホームページをご覧下さい。
(英語)
Takashi Kumagai is working on probability theory. In particular, he has been working on the theory of Markov chains and diffusion processes on disordered media which include fractals, and probabilistic potential theory on jump processes. Detailed information and references of his research can be obtained from his Web site.
使用言語
言語名(japanese) 言語名(english) コード
英語 English eng
個人ホームページ
URL
http://www.kurims.kyoto-u.ac.jp/~kumagai/
ORCID ID
https://orcid.org/0000-0001-7515-1055
researchmap URL
https://researchmap.jp/read0014409
研究テーマ
(日本語)
複雑な系の上の確率過程の研究
(英語)
Stochastic processes on disordered media
研究概要
(日本語)
確率論を研究しています。特に、フラクタルをはじめとする複雑な系の上のマルコフ連鎖や拡散過程の研究を行っています。また、飛躍型確率過程の確率論的ポテンシャル論の研究も行っています。詳しくは、私のホームページをご覧下さい。
(英語)
Takashi Kumagai is working on probability theory. In particular, he has been working on the theory of Markov chains and diffusion processes on disordered media which include fractals, and probabilistic potential theory on jump processes. Detailed information and references of his research can be obtained from his Web site.
研究分野(キーワード)
キーワード(日本語) キーワード(英語)
確率論 Probability Theory
確率過程 Stochastic Processes
確率解析 Stochastic Analysis
調和解析 Harmonic Analysis
論文
著者 著者(日本語) 著者(英語) タイトル タイトル(日本語) タイトル(英語) 書誌情報等 書誌情報等(日本語) 書誌情報等(英語) 出版年月 査読の有無 記述言語 掲載種別 公開
Xin Chen, Takashi Kumagai, Jian Wang Xin Chen, Takashi Kumagai, Jian Wang Xin Chen, Takashi Kumagai, Jian Wang Random conductance models with stable-like jumps: Heat kernel estimates and Harnack inequalities Random conductance models with stable-like jumps: Heat kernel estimates and Harnack inequalities Random conductance models with stable-like jumps: Heat kernel estimates and Harnack inequalities Journal of Functional Analysis, 279, 7, 108656-108656 Journal of Functional Analysis, 279, 7, 108656-108656 Journal of Functional Analysis, 279, 7, 108656-108656 2020/10 研究論文(学術雑誌) 公開
Zhen-Qing Chen, Takashi Kumagai, Jian Wang Zhen-Qing Chen, Takashi Kumagai, Jian Wang Zhen-Qing Chen, Takashi Kumagai, Jian Wang Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms Advances in Mathematics, 107269-107269 Advances in Mathematics, 107269-107269 Advances in Mathematics, 107269-107269 2020/07 研究論文(学術雑誌) 公開
Zhen Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang Zhen Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang Zhen Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang Time fractional Poisson equations: Representations and estimates Time fractional Poisson equations: Representations and estimates Time fractional Poisson equations: Representations and estimates Journal of Functional Analysis, 278, 2 Journal of Functional Analysis, 278, 2 Journal of Functional Analysis, 278, 2 2020/01/15 研究論文(学術雑誌) 公開
Z.-Q. Chen, 熊谷 隆, J. Wang Z.-Q. Chen, 熊谷 隆, J. Wang Z.-Q. Chen, T. Kumagai, J. Wang Elliptic Harnack inequalities for symmetric non-local Dirichlet forms Elliptic Harnack inequalities for symmetric non-local Dirichlet forms Elliptic Harnack inequalities for symmetric non-local Dirichlet forms J. Math. Pures Appl., 125, 1-42 J. Math. Pures Appl., 125, 1-42 J. Math. Pures Appl., 125, 1-42 2019/05 英語 研究論文(学術雑誌) 公開
D.A. Croydon, B.M. Hambly, 熊谷 隆 D.A. Croydon, B.M. Hambly, 熊谷 隆 D.A. Croydon, B.M. Hambly, KUMAGAI Takashi Heat kernel estimates for FIN processes associated with resistance forms Heat kernel estimates for FIN processes associated with resistance forms Heat kernel estimates for FIN processes associated with resistance forms Stoch. Proc. Their Appl., 129, 2991-3017 Stoch. Proc. Their Appl., 129, 2991-3017 Stoch. Proc. Their Appl., 129, 2991-3017 2019 英語 研究論文(学術雑誌) 公開
G.-Y. Chen, 熊谷 隆 G.-Y. Chen, 熊谷 隆 G.-Y. Chen, KUMAGAI Takashi Products of random walks on finite groups with moderate growth Products of random walks on finite groups with moderate growth Products of random walks on finite groups with moderate growth Tohoku Math. J., 71, 2, 281-302 Tohoku Math. J., 71, 2, 281-302 Tohoku Math. J., 71, 2, 281-302 2019 英語 研究論文(大学、研究機関紀要) 公開
熊谷 隆, 中村ちから 熊谷 隆, 中村ちから Kumagai, Takashi, Nakamura, Chikara Lamplighter random walks on fractals. Lamplighter random walks on fractals. Lamplighter random walks on fractals. J. Theoret. Probab., 31, 1, 68-92 J. Theoret. Probab., 31, 1, 68-92 J. Theoret. Probab., 31, 1, 68-92 2018 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 KUMAGAI Takashi 複雑な系の上の異常拡散現象の解析 複雑な系の上の異常拡散現象の解析 Anomalous random walks and diffusions on disordered media 数学, 70, 1, 81-100 数学, 70, 1, 81-100 Sugaku, 70, 1, 81-100 2018 日本語 研究論文(学術雑誌) 公開
A. Dembo, 熊谷 隆, 中村ちから A. Dembo, 熊谷 隆, 中村ちから A. Dembo, T. Kumagai, C. Nakamura Cutoff for lamplighter chains on fractals Cutoff for lamplighter chains on fractals Cutoff for lamplighter chains on fractals Electron. J. Probab., 23, 1-21 Electron. J. Probab., 23, 1-21 Electron. J. Probab., 23, 1-21 2018 英語 研究論文(学術雑誌) 公開
Z.-Q. Chen, P. Kim, 熊谷 隆, J. Wang Z.-Q. Chen, P. Kim, 熊谷 隆, J. Wang Z.-Q. Chen, P. Kim, T. Kumagai, J. Wang Heat kernel estimates for time fractional equations Heat kernel estimates for time fractional equations Heat kernel estimates for time fractional equations Forum. Math., 30, 5, 1163-1192 Forum. Math., 30, 5, 1163-1192 Forum. Math., 30, 5, 1163-1192 2018 英語 研究論文(学術雑誌) 公開
G.-Y. Chen, 熊谷 隆 G.-Y. Chen, 熊谷 隆 G.-Y. Chen, T. Kumagai Cutoffs for product chains Cutoffs for product chains Cutoffs for product chains Stoch. Proc. Their Appl., 128, 11, 3840-3879 Stoch. Proc. Their Appl., 128, 11, 3840-3879 Stoch. Proc. Their Appl., 128, 11, 3840-3879 2018 英語 研究論文(学術雑誌) 公開
Z.-Q. Chen, 熊谷 隆, J. Wang Z.-Q. Chen, 熊谷 隆, J. Wang Z.-Q. Chen, T. Kumagai, J. Wang Mean value inequalities for jump processes. Mean value inequalities for jump processes. Mean value inequalities for jump processes. Stochastic Partial Differential Equations and Related Fields, In Honor of Michael Röckner, SPDERF, Bielefeld, 421-437 Stochastic Partial Differential Equations and Related Fields, In Honor of Michael Röckner, SPDERF, Bielefeld, 421-437 Stochastic Partial Differential Equations and Related Fields, In Honor of Michael Röckner, SPDERF, Bielefeld, 421-437 2018 英語 研究論文(国際会議プロシーディングス) 公開
Panki Kim, Takashi Kumagai, Jian Wang Panki Kim, Takashi Kumagai, Jian Wang Panki Kim, Takashi Kumagai, Jian Wang Laws of the iterated logarithm for symmetric jump processes Laws of the iterated logarithm for symmetric jump processes Laws of the iterated logarithm for symmetric jump processes BERNOULLI, 23, 4A, 2330-2379 BERNOULLI, 23, 4A, 2330-2379 BERNOULLI, 23, 4A, 2330-2379 2017/11 英語 研究論文(学術雑誌) 公開
David Croydon, Ben Hambly, Takashi Kumagai David Croydon, Ben Hambly, Takashi Kumagai David Croydon, Ben Hambly, Takashi Kumagai Time-changes of stochastic processes associated with resistance forms Time-changes of stochastic processes associated with resistance forms Time-changes of stochastic processes associated with resistance forms ELECTRONIC JOURNAL OF PROBABILITY, 22, 82, 1-41 ELECTRONIC JOURNAL OF PROBABILITY, 22, 82, 1-41 ELECTRONIC JOURNAL OF PROBABILITY, 22, 82, 1-41 2017 英語 研究論文(学術雑誌) 公開
M. T. Barlow, D. A. Croydon, T. Kumagai M. T. Barlow, D. A. Croydon, T. Kumagai M. T. Barlow, D. A. Croydon, T. Kumagai SUBSEQUENTIAL SCALING LIMITS OF SIMPLE RANDOM WALK ON THE TWO-DIMENSIONAL UNIFORM SPANNING TREE SUBSEQUENTIAL SCALING LIMITS OF SIMPLE RANDOM WALK ON THE TWO-DIMENSIONAL UNIFORM SPANNING TREE SUBSEQUENTIAL SCALING LIMITS OF SIMPLE RANDOM WALK ON THE TWO-DIMENSIONAL UNIFORM SPANNING TREE ANNALS OF PROBABILITY, 45, 1, 4-55 ANNALS OF PROBABILITY, 45, 1, 4-55 ANNALS OF PROBABILITY, 45, 1, 4-55 2017/01 英語 研究論文(学術雑誌) 公開
熊谷 隆, 中村ちから 熊谷 隆, 中村ちから Kumagai, Takashi, Nakamura, Chikara Laws of the iterated logarithm for random walks on random conductance models. Laws of the iterated logarithm for random walks on random conductance models. Laws of the iterated logarithm for random walks on random conductance models. RIMS Kôkyûroku Bessatsu, B59, 141-156 RIMS Kôkyûroku Bessatsu, B59, 141-156 RIMS Kôkyûroku Bessatsu, B59, 141-156 2016 英語 研究論文(学術雑誌) 公開
Ruojun Huang, Takashi Kumagai Ruojun Huang, Takashi Kumagai Ruojun Huang, Takashi Kumagai Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances ELECTRONIC COMMUNICATIONS IN PROBABILITY, 21, 5, 1-11 ELECTRONIC COMMUNICATIONS IN PROBABILITY, 21, 5, 1-11 ELECTRONIC COMMUNICATIONS IN PROBABILITY, 21, 5, 1-11 2016 英語 研究論文(学術雑誌) 公開
Omar Boukhadra, Takashi Kumagai, Pierre Mathieu Omar Boukhadra, Takashi Kumagai, Pierre Mathieu Omar Boukhadra, Takashi Kumagai, Pierre Mathieu Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 67, 4, 1413-1448 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 67, 4, 1413-1448 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 67, 4, 1413-1448 2015/10 英語 研究論文(学術雑誌) 公開
Zhen-Qing Chen, David A. Croydon, Takashi Kumagai Zhen-Qing Chen, David A. Croydon, Takashi Kumagai Zhen-Qing Chen, David A. Croydon, Takashi Kumagai QUENCHED INVARIANCE PRINCIPLES FOR RANDOM WALKS AND ELLIPTIC DIFFUSIONS IN RANDOM MEDIA WITH BOUNDARY QUENCHED INVARIANCE PRINCIPLES FOR RANDOM WALKS AND ELLIPTIC DIFFUSIONS IN RANDOM MEDIA WITH BOUNDARY QUENCHED INVARIANCE PRINCIPLES FOR RANDOM WALKS AND ELLIPTIC DIFFUSIONS IN RANDOM MEDIA WITH BOUNDARY ANNALS OF PROBABILITY, 43, 4, 1594-1642 ANNALS OF PROBABILITY, 43, 4, 1594-1642 ANNALS OF PROBABILITY, 43, 4, 1594-1642 2015/07 英語 研究論文(学術雑誌) 公開
Krzysztof Bogdan, Takashi Kumagai, Mateusz Kwasnicki Krzysztof Bogdan, Takashi Kumagai, Mateusz Kwasnicki Krzysztof Bogdan, Takashi Kumagai, Mateusz Kwasnicki BOUNDARY HARNACK INEQUALITY FOR MARKOV PROCESSES WITH JUMPS BOUNDARY HARNACK INEQUALITY FOR MARKOV PROCESSES WITH JUMPS BOUNDARY HARNACK INEQUALITY FOR MARKOV PROCESSES WITH JUMPS TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 367, 1, 477-517 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 367, 1, 477-517 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 367, 1, 477-517 2015/01 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 KUMAGAI Takashi Anomalous random walks and diffusions: From fractals to random media. Anomalous random walks and diffusions: From fractals to random media. Anomalous random walks and diffusions: From fractals to random media. Proceedings of the ICM Seoul 2014, IV, 75-94 Proceedings of the ICM Seoul 2014, IV, 75-94 Proceedings of the ICM Seoul 2014, IV, 75-94 2014 英語 研究論文(国際会議プロシーディングス) 公開
D. A. Croydon, A. Fribergh, T. Kumagai D. A. Croydon, A. Fribergh, T. Kumagai D. A. Croydon, A. Fribergh, T. Kumagai Biased random walk on critical Galton-Watson trees conditioned to survive Biased random walk on critical Galton-Watson trees conditioned to survive Biased random walk on critical Galton-Watson trees conditioned to survive PROBABILITY THEORY AND RELATED FIELDS, 157, 1-2, 453-507 PROBABILITY THEORY AND RELATED FIELDS, 157, 1-2, 453-507 PROBABILITY THEORY AND RELATED FIELDS, 157, 1-2, 453-507 2013/10 英語 研究論文(学術雑誌) 公開
Takashi Kumagai, Ofer Zeitouni Takashi Kumagai, Ofer Zeitouni Takashi Kumagai, Ofer Zeitouni Fluctuations of maxima of discrete Gaussian free fields on a class of recurrent graphs Fluctuations of maxima of discrete Gaussian free fields on a class of recurrent graphs Fluctuations of maxima of discrete Gaussian free fields on a class of recurrent graphs ELECTRONIC COMMUNICATIONS IN PROBABILITY, 18, 1-12 ELECTRONIC COMMUNICATIONS IN PROBABILITY, 18, 1-12 ELECTRONIC COMMUNICATIONS IN PROBABILITY, 18, 1-12 2013/09 英語 研究論文(学術雑誌) 公開
Zhen-Qing Chen, Panki Kim, Takashi Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai Discrete approximation of symmetric jump processes on metric measure spaces Discrete approximation of symmetric jump processes on metric measure spaces Discrete approximation of symmetric jump processes on metric measure spaces PROBABILITY THEORY AND RELATED FIELDS, 155, 3-4, 703-749 PROBABILITY THEORY AND RELATED FIELDS, 155, 3-4, 703-749 PROBABILITY THEORY AND RELATED FIELDS, 155, 3-4, 703-749 2013/04 英語 研究論文(学術雑誌) 公開
J.-D. Deuschel, T. Kumagai J.-D. Deuschel, T. Kumagai J.-D. Deuschel, T. Kumagai Markov chain approximations to nonsymmetric diffusions with bounded coefficients Markov chain approximations to nonsymmetric diffusions with bounded coefficients Markov chain approximations to nonsymmetric diffusions with bounded coefficients Communications on Pure and Applied Mathematics, 66, 6, 821-866 Communications on Pure and Applied Mathematics, 66, 6, 821-866 Communications on Pure and Applied Mathematics, 66, 6, 821-866 2013 英語 公開
Martin T. Barlow, Alexander Grigor'yan, Takashi Kumagai Martin T. Barlow, Alexander Grigor'yan, Takashi Kumagai Martin T. Barlow, Alexander Grigor'yan, Takashi Kumagai On the equivalence of parabolic Harnack inequalities and heat kernel estimates On the equivalence of parabolic Harnack inequalities and heat kernel estimates On the equivalence of parabolic Harnack inequalities and heat kernel estimates JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 64, 4, 1091-1146 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 64, 4, 1091-1146 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 64, 4, 1091-1146 2012/10 英語 研究論文(学術雑誌) 公開
D. A. Croydon, B. M. Hambly, T. Kumagai D. A. Croydon, B. M. Hambly, T. Kumagai D. A. Croydon, B. M. Hambly, T. Kumagai Convergence of mixing times for sequences of random walks on finite graphs Convergence of mixing times for sequences of random walks on finite graphs Convergence of mixing times for sequences of random walks on finite graphs ELECTRONIC JOURNAL OF PROBABILITY, 17, 1-32 ELECTRONIC JOURNAL OF PROBABILITY, 17, 1-32 ELECTRONIC JOURNAL OF PROBABILITY, 17, 1-32 2012/01 英語 研究論文(学術雑誌) 公開
Zhen-Qing Chen, Panki Kim, Takashi Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363, 9, 5021-5055 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363, 9, 5021-5055 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363, 9, 5021-5055 2011/09 英語 研究論文(学術雑誌) 公開
R.F. Bass, T. Kumagai, T. Uemura R.F. Bass, T. Kumagai, T. Uemura Richard F. Bass, Takashi Kumagai, Toshihiro Uemura Convergence of symmetric Markov chains on ℤ<sup>d</sup> Convergence of symmetric Markov chains on ℤ<sup>d</sup> Convergence of symmetric Markov chains on Z(d) Probability Theory and Related Fields, 148, 1-2, 107-140 Probability Theory and Related Fields, 148, 1-2, 107-140 PROBABILITY THEORY AND RELATED FIELDS, 148, 1-2, 107-140 2010/09 英語 研究論文(学術雑誌) 公開
B. M. Hambly, T. Kumagai B. M. Hambly, T. Kumagai B. M. Hambly, T. Kumagai Diffusion on the Scaling Limit of the Critical Percolation Cluster in the Diamond Hierarchical Lattice Diffusion on the Scaling Limit of the Critical Percolation Cluster in the Diamond Hierarchical Lattice Diffusion on the Scaling Limit of the Critical Percolation Cluster in the Diamond Hierarchical Lattice COMMUNICATIONS IN MATHEMATICAL PHYSICS, 295, 1, 29-69 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 295, 1, 29-69 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 295, 1, 29-69 2010/04 英語 研究論文(学術雑誌) 公開
Richard F. Bass, Moritz Kassmann, Takashi Kumagai Richard F. Bass, Moritz Kassmann, Takashi Kumagai Richard F. Bass, Moritz Kassmann, Takashi Kumagai Symmetric jump processes: Localization, heat kernels and convergence Symmetric jump processes: Localization, heat kernels and convergence Symmetric jump processes: Localization, heat kernels and convergence ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 46, 1, 59-71 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 46, 1, 59-71 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 46, 1, 59-71 2010/02 英語 研究論文(学術雑誌) 公開
Z.-Q. Chen, T. Kumagai Z.-Q. Chen, T. Kumagai Zhen-Qing Chen, Takashi Kumagai A priori hölder estimate, parabolic harnack principle and heat kernel estimates for diffusions with jumps A priori hölder estimate, parabolic harnack principle and heat kernel estimates for diffusions with jumps A priori Holder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps Revista Matematica Iberoamericana, 26, 2, 551-589 Revista Matematica Iberoamericana, 26, 2, 551-589 REVISTA MATEMATICA IBEROAMERICANA, 26, 2, 551-589 2010 英語 研究論文(学術雑誌) 公開
M.T. Barlow, R.F. Bass, T. Kumagai, A. Teplyaev M.T. Barlow, R.F. Bass, T. Kumagai, A. Teplyaev Martin T. Barlow, Richard F. Bass, Takashi Kumagai, Alexander Teplyaev Uniqueness of Brownian motion on Sierpiński carpets Uniqueness of Brownian motion on Sierpiński carpets Uniqueness of Brownian motion on Sierpinski carpets Journal of the European Mathematical Society, 12, 3, 655-701 Journal of the European Mathematical Society, 12, 3, 655-701 JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 12, 3, 655-701 2010 英語 研究論文(学術雑誌) 公開
Zhen-Qing Chen, Panki Kim, Takashi Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces ACTA MATHEMATICA SINICA-ENGLISH SERIES, 25, 7, 1067-1086 ACTA MATHEMATICA SINICA-ENGLISH SERIES, 25, 7, 1067-1086 ACTA MATHEMATICA SINICA-ENGLISH SERIES, 25, 7, 1067-1086 2009/07 英語 研究論文(学術雑誌) 公開
Martin T. Barlow, Richard F. Bass, Takashi Kumagai Martin T. Barlow, Richard F. Bass, Takashi Kumagai Martin T. Barlow, Richard F. Bass, Takashi Kumagai Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps MATHEMATISCHE ZEITSCHRIFT, 261, 2, 297-320 MATHEMATISCHE ZEITSCHRIFT, 261, 2, 297-320 MATHEMATISCHE ZEITSCHRIFT, 261, 2, 297-320 2009/02 英語 研究論文(学術雑誌) 公開
Martin T. Barlow, Alexander Grigor&apos;yan, Takashi Kumagai Martin T. Barlow, Alexander Grigor&apos;yan, Takashi Kumagai Martin T. Barlow, Alexander Grigor&apos;yan, Takashi Kumagai Heat kernel upper bounds for jump processes and the first exit time Heat kernel upper bounds for jump processes and the first exit time Heat kernel upper bounds for jump processes and the first exit time JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 626, 135-157 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 626, 135-157 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 626, 135-157 2009/01 英語 研究論文(学術雑誌) 公開
Takashi Kumagai, Jun Misumi Takashi Kumagai, Jun Misumi Takashi Kumagai, Jun Misumi Heat kernel estimates for strongly recurrent random walk on random media Heat kernel estimates for strongly recurrent random walk on random media Heat kernel estimates for strongly recurrent random walk on random media JOURNAL OF THEORETICAL PROBABILITY, 21, 4, 910-935 JOURNAL OF THEORETICAL PROBABILITY, 21, 4, 910-935 JOURNAL OF THEORETICAL PROBABILITY, 21, 4, 910-935 2008/12 英語 研究論文(学術雑誌) 公開
Z.-Q. Chen, P. Kim, T. Kumagai Z.-Q. Chen, P. Kim, T. Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai Weighted Poincaré inequality and heat kernel estimates for finite range jump processes Weighted Poincaré inequality and heat kernel estimates for finite range jump processes Weighted Poincare inequality and heat kernel estimates for finite range jump processes Mathematische Annalen, 342, 4, 833-883 Mathematische Annalen, 342, 4, 833-883 MATHEMATISCHE ANNALEN, 342, 4, 833-883 2008/12 英語 研究論文(学術雑誌) 公開
David Croydon, Takashi Kumagai David Croydon, Takashi Kumagai David Croydon, Takashi Kumagai Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive ELECTRONIC JOURNAL OF PROBABILITY, 13, 1419-1441 ELECTRONIC JOURNAL OF PROBABILITY, 13, 1419-1441 ELECTRONIC JOURNAL OF PROBABILITY, 13, 1419-1441 2008/08 英語 研究論文(学術雑誌) 公開
Martin T. Barlow, Antal A. Jarai, Takashi Kumagai, Gordon Slade Martin T. Barlow, Antal A. Jarai, Takashi Kumagai, Gordon Slade Martin T. Barlow, Antal A. Jarai, Takashi Kumagai, Gordon Slade Random walk on the incipient infinite cluster for oriented percolation in high dimensions Random walk on the incipient infinite cluster for oriented percolation in high dimensions Random walk on the incipient infinite cluster for oriented percolation in high dimensions COMMUNICATIONS IN MATHEMATICAL PHYSICS, 278, 2, 385-431 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 278, 2, 385-431 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 278, 2, 385-431 2008/03 英語 研究論文(学術雑誌) 公開
Zhen-Qing Chen, Takashi Kumagai Zhen-Qing Chen, Takashi Kumagai Zhen-Qing Chen, Takashi Kumagai Heat kernel estimates for jump processes of mixed types on metric measure spaces Heat kernel estimates for jump processes of mixed types on metric measure spaces Heat kernel estimates for jump processes of mixed types on metric measure spaces PROBABILITY THEORY AND RELATED FIELDS, 140, 1-2, 277-317 PROBABILITY THEORY AND RELATED FIELDS, 140, 1-2, 277-317 PROBABILITY THEORY AND RELATED FIELDS, 140, 1-2, 277-317 2008/01 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 熊谷 隆 Recent developments of analysis on fractals. Recent developments of analysis on fractals. Recent developments of analysis on fractals. Translations, Series 2, Volume 223, pp. 81--95, Amer. Math. Soc. 2008. Translations, Series 2, Volume 223, pp. 81--95, Amer. Math. Soc. 2008. Translations, Series 2, Volume 223, pp. 81--95, Amer. Math. Soc. 2008. 2008 英語 公開
Richard F. Bass, Takashi Kumagai Richard F. Bass, Takashi Kumagai Richard F. Bass, Takashi Kumagai Symmetric markov chains on Z(d) with unbounded range Symmetric markov chains on Z(d) with unbounded range Symmetric markov chains on Z(d) with unbounded range TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 360, 4, 2041-2075 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 360, 4, 2041-2075 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 360, 4, 2041-2075 2008 英語 研究論文(学術雑誌) 公開
藤井一朗, 熊谷 隆 藤井一朗, 熊谷 隆 Fujii, Ichiro, KUMAGAI Takashi Heat kernel estimates on the incipient infinite cluster for critical branching processes. Heat kernel estimates on the incipient infinite cluster for critical branching processes. Heat kernel estimates on the incipient infinite cluster for critical branching processes. RIMS Kôkyûroku Bessatsu, B6, 85-95 RIMS Kôkyûroku Bessatsu, B6, 85-95 RIMS Kôkyûroku Bessatsu, B6, 85-95 2008 英語 研究論文(学術雑誌) 公開
Alexander Grigor'yan, Takashi Kumagai Alexander Grigor'yan, Takashi Kumagai Alexander Grigor'yan, Takashi Kumagai On the dichotomy in the heat kernel two sided estimates On the dichotomy in the heat kernel two sided estimates On the dichotomy in the heat kernel two sided estimates ANALYSIS ON GRAPHS AND ITS APPLICATIONS, 77, 199-+ ANALYSIS ON GRAPHS AND ITS APPLICATIONS, 77, 199-+ ANALYSIS ON GRAPHS AND ITS APPLICATIONS, 77, 199-+ 2008 英語 研究論文(国際会議プロシーディングス) 公開
熊谷 隆 熊谷 隆 Alexander Grigor'yan, Takashi Kumagai On the dichotomy in the heat kernel two sided estimates.「(共著)」 On the dichotomy in the heat kernel two sided estimates.「(共著)」 On the dichotomy in the heat kernel two sided estimates In: Analysis on Graphs and its Applications (P. Exner et al. (eds.)), Proc. of Symposia in Pure Math. 77, pp. 199--210, Amer. Math. Soc. 2008, 77, 199-+ In: Analysis on Graphs and its Applications (P. Exner et al. (eds.)), Proc. of Symposia in Pure Math. 77, pp. 199--210, Amer. Math. Soc. 2008, 77, 199-+ ANALYSIS ON GRAPHS AND ITS APPLICATIONS, 77, 199-+ 2008 英語 研究論文(国際会議プロシーディングス) 公開
FUJII Ichiro, KUMAGAI Takashi FUJII Ichiro, KUMAGAI Takashi Heat kernel estimates on the incipient infinite cluster for critical branching processes (Proceedings of RIMS Workshop on Stochastic Analysis and Applications) Heat kernel estimates on the incipient infinite cluster for critical branching processes (Proceedings of RIMS Workshop on Stochastic Analysis and Applications) 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu, 6, 85-95 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu, 6, 85-95 , 6, 85-95 2008/01 日本語 公開
Masanori Hino, Takashi Kumagai Masanori Hino, Takashi Kumagai Masanori Hino, Takashi Kumagai A trace theorem for Dirichlet forms on fractals A trace theorem for Dirichlet forms on fractals A trace theorem for Dirichlet forms on fractals JOURNAL OF FUNCTIONAL ANALYSIS, 238, 2, 578-611 JOURNAL OF FUNCTIONAL ANALYSIS, 238, 2, 578-611 JOURNAL OF FUNCTIONAL ANALYSIS, 238, 2, 578-611 2006/09 英語 研究論文(学術雑誌) 公開
Jiaxin Hu, Takashi Kumagai Jiaxin Hu, Takashi Kumagai Jiaxin Hu, Takashi Kumagai Nash-type inequalities and heat kernels for non-local Dirichlet forms Nash-type inequalities and heat kernels for non-local Dirichlet forms Nash-type inequalities and heat kernels for non-local Dirichlet forms KYUSHU JOURNAL OF MATHEMATICS, 60, 2, 245-265 KYUSHU JOURNAL OF MATHEMATICS, 60, 2, 245-265 KYUSHU JOURNAL OF MATHEMATICS, 60, 2, 245-265 2006/09 英語 研究論文(学術雑誌) 公開
Martin T. Barlow, Richard F. Bass, Takashi Kumagai Martin T. Barlow, Richard F. Bass, Takashi Kumagai Martin T. Barlow, Richard F. Bass, Takashi Kumagai Stability of parabolic Harnack inequalities on metric measure spaces Stability of parabolic Harnack inequalities on metric measure spaces Stability of parabolic Harnack inequalities on metric measure spaces JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 58, 2, 485-519 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 58, 2, 485-519 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 58, 2, 485-519 2006/04 英語 研究論文(学術雑誌) 公開
M.T. Barlow, T. Kumagai M.T. Barlow, T. Kumagai M.T. Barlow, T. Kumagai Random Walk on The Incipient Infinite Cluster on Trees Random Walk on The Incipient Infinite Cluster on Trees Random Walk on The Incipient Infinite Cluster on Trees Illinois Journal of Mathematics, 50, 1, 33-65 Illinois Journal of Mathematics, 50, 1, 33-65 Illinois Journal of Mathematics, 50, 1, 33-65 2006 英語 研究論文(学術雑誌) 公開
MT Barlow, T Coulhon, T Kumagai MT Barlow, T Coulhon, T Kumagai MT Barlow, T Coulhon, T Kumagai Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 58, 12, 1642-1677 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 58, 12, 1642-1677 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 58, 12, 1642-1677 2005/12 英語 研究論文(学術雑誌) 公開
T Kumagai, KT Sturm T Kumagai, KT Sturm T Kumagai, KT Sturm Construction of diffusion processes on fractals, d-sets, and general metric measure spaces Construction of diffusion processes on fractals, d-sets, and general metric measure spaces Construction of diffusion processes on fractals, d-sets, and general metric measure spaces JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 45, 2, 307-327 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 45, 2, 307-327 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 45, 2, 307-327 2005 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 フラクタル上の解析学の展開 フラクタル上の解析学の展開 数学, 56, 4, 337-350 数学, 56, 4, 337-350 , 56, 4, 337-350 2004/10/26 日本語 公開
T Kumagai T Kumagai T Kumagai Heat kernel estimates and parabolic harnack inequalities on graphs and resistance forms Heat kernel estimates and parabolic harnack inequalities on graphs and resistance forms Heat kernel estimates and parabolic harnack inequalities on graphs and resistance forms PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 40, 3, 793-818 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 40, 3, 793-818 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 40, 3, 793-818 2004/09 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 熊谷 隆 Recent developments of analysis on fractals (in Japanese) Recent developments of analysis on fractals (in Japanese) Recent developments of analysis on fractals (in Japanese) "Sugaku", Iwanami-shoten,56/4, 337-350 "Sugaku", Iwanami-shoten,56/4, 337-350 "Sugaku", Iwanami-shoten,56/4, 337-350 2004 英語 公開
熊谷 隆 熊谷 隆 熊谷 隆 Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs「(共著)」 Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs「(共著)」 Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs「(共著)」 In: Discrete Geometric Analysis, (M. Kotani et al. (eds.)), Contemporary Mathematics, Amer. Math. Soc.,347, 153-172 In: Discrete Geometric Analysis, (M. Kotani et al. (eds.)), Contemporary Mathematics, Amer. Math. Soc.,347, 153-172 In: Discrete Geometric Analysis, (M. Kotani et al. (eds.)), Contemporary Mathematics, Amer. Math. Soc.,347, 153-172 2004 英語 公開
熊谷 隆 熊谷 隆 熊谷 隆 Brownian motions on fractals Brownian motions on fractals Brownian motions on fractals Bulletin de liaison,7, 1-17 Bulletin de liaison,7, 1-17 Bulletin de liaison,7, 1-17 2004 英語 公開
BM Hambly, T Kumagai BM Hambly, T Kumagai BM Hambly, T Kumagai Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometrics Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometrics Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometrics FRACTAL GEOMETRY AND APPLICATIONS: A JUBILEE OF BENOIT MANDELBROT - MULTIFRACTALS, PROBABILITY AND STATISTICAL MECHANICS, APPLICATIONS, PT 2, 72, 2, 233-259 FRACTAL GEOMETRY AND APPLICATIONS: A JUBILEE OF BENOIT MANDELBROT - MULTIFRACTALS, PROBABILITY AND STATISTICAL MECHANICS, APPLICATIONS, PT 2, 72, 2, 233-259 FRACTAL GEOMETRY AND APPLICATIONS: A JUBILEE OF BENOIT MANDELBROT - MULTIFRACTALS, PROBABILITY AND STATISTICAL MECHANICS, APPLICATIONS, PT 2, 72, 2, 233-259 2004 英語 研究論文(国際会議プロシーディングス) 公開
T Kumagai T Kumagai T Kumagai Function spaces and stochastic processes on fractals Function spaces and stochastic processes on fractals Function spaces and stochastic processes on fractals FRACTAL GEOMETRY AND STOCHASTICS III, 57, 221-234 FRACTAL GEOMETRY AND STOCHASTICS III, 57, 221-234 FRACTAL GEOMETRY AND STOCHASTICS III, 57, 221-234 2004 英語 研究論文(国際会議プロシーディングス) 公開
熊谷 隆 熊谷 隆 KUMAGAI Takashi Homogenization on finitely ramified fractals. Homogenization on finitely ramified fractals. Homogenization on finitely ramified fractals. Adv. Stud. Pure Math., 41, 189-207 Adv. Stud. Pure Math., 41, 189-207 Adv. Stud. Pure Math., 41, 189-207 2004 英語 研究論文(学術雑誌) 公開
BM Hambly, T Kumagai BM Hambly, T Kumagai BM Hambly, T Kumagai Diffusion processes on fractal fields: heat kernel estimates and large deviations Diffusion processes on fractal fields: heat kernel estimates and large deviations Diffusion processes on fractal fields: heat kernel estimates and large deviations PROBABILITY THEORY AND RELATED FIELDS, 127, 3, 305-352 PROBABILITY THEORY AND RELATED FIELDS, 127, 3, 305-352 PROBABILITY THEORY AND RELATED FIELDS, 127, 3, 305-352 2003/11 英語 研究論文(学術雑誌) 公開
ZQ Chen, T Kumagai ZQ Chen, T Kumagai ZQ Chen, T Kumagai Heat kernel estimates for stable-like processes on d-sets Heat kernel estimates for stable-like processes on d-sets Heat kernel estimates for stable-like processes on d-sets STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 108, 1, 27-62 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 108, 1, 27-62 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 108, 1, 27-62 2003/11 英語 研究論文(学術雑誌) 公開
T Kumagai T Kumagai T Kumagai Some remarks for stable-like jump processes on fractals Some remarks for stable-like jump processes on fractals Some remarks for stable-like jump processes on fractals FRACTALS IN GRAZ 2001: ANALYSIS - DYNAMICS - GEOMETRY - STOCHASTICS, 185-196 FRACTALS IN GRAZ 2001: ANALYSIS - DYNAMICS - GEOMETRY - STOCHASTICS, 185-196 FRACTALS IN GRAZ 2001: ANALYSIS - DYNAMICS - GEOMETRY - STOCHASTICS, 185-196 2003 英語 研究論文(国際会議プロシーディングス) 公開
BM Hambly, T Kumagai BM Hambly, T Kumagai BM Hambly, T Kumagai Asymptotics for the spectral and walk dimension as fractals approach Euclidean space Asymptotics for the spectral and walk dimension as fractals approach Euclidean space Asymptotics for the spectral and walk dimension as fractals approach Euclidean space FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 10, 4, 403-412 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 10, 4, 403-412 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 10, 4, 403-412 2002/12 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 熊谷 隆 Function spaces and stochastic processes on fractals (ポテンシャル論とその周辺 研究集会報告集) Function spaces and stochastic processes on fractals (ポテンシャル論とその周辺 研究集会報告集) Function spaces and stochastic processes on fractals (ポテンシャル論とその周辺 研究集会報告集) 数理解析研究所講究録, 1293, 42-54 数理解析研究所講究録, 1293, 42-54 数理解析研究所講究録, 1293, 42-54 2002/11 英語 公開
RF Bass, T Kumagai RF Bass, T Kumagai RF Bass, T Kumagai Laws of the iterated logarithm for the range of random walks in two and three dimensions Laws of the iterated logarithm for the range of random walks in two and three dimensions Laws of the iterated logarithm for the range of random walks in two and three dimensions ANNALS OF PROBABILITY, 30, 3, 1369-1396 ANNALS OF PROBABILITY, 30, 3, 1369-1396 ANNALS OF PROBABILITY, 30, 3, 1369-1396 2002/07 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 熊谷 隆 Construction of diffusion processes penetrating fractals--An application of the theory of Besov spaces (調和解析学と非線形偏微分方程式 研究集会報告集) Construction of diffusion processes penetrating fractals--An application of the theory of Besov spaces (調和解析学と非線形偏微分方程式 研究集会報告集) Construction of diffusion processes penetrating fractals--An application of the theory of Besov spaces (調和解析学と非線形偏微分方程式 研究集会報告集) 数理解析研究所講究録, 1235, 91-114 数理解析研究所講究録, 1235, 91-114 数理解析研究所講究録, 1235, 91-114 2001/10 英語 公開
BM Hambly, T Kumagai BM Hambly, T Kumagai BM Hambly, T Kumagai Fluctuation of the transition density for Brownian motion on random recursive Sierpinski gaskets Fluctuation of the transition density for Brownian motion on random recursive Sierpinski gaskets Fluctuation of the transition density for Brownian motion on random recursive Sierpinski gaskets STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 92, 1, 61-85 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 92, 1, 61-85 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 92, 1, 61-85 2001/03 英語 研究論文(学術雑誌) 公開
M.T. Barlow, T. Kumagai M.T. Barlow, T. Kumagai M.T. Barlow, T. Kumagai Transition density asymptotics for some diffusion processes with multi-fractal structures Transition density asymptotics for some diffusion processes with multi-fractal structures Transition density asymptotics for some diffusion processes with multi-fractal structures Electronic Journal of Probability, 6, 1-23 Electronic Journal of Probability, 6, 1-23 Electronic Journal of Probability, 6, 1-23 2001 英語 公開
RF Bass, T Kumagai RF Bass, T Kumagai RF Bass, T Kumagai Laws of the iterated logarithm for some symmetric diffusion processes Laws of the iterated logarithm for some symmetric diffusion processes Laws of the iterated logarithm for some symmetric diffusion processes OSAKA JOURNAL OF MATHEMATICS, 37, 3, 625-650 OSAKA JOURNAL OF MATHEMATICS, 37, 3, 625-650 OSAKA JOURNAL OF MATHEMATICS, 37, 3, 625-650 2000/09 英語 研究論文(学術雑誌) 公開
BM Hambly, T Kumagai, S Kusuoka, XY Zhou BM Hambly, T Kumagai, S Kusuoka, XY Zhou BM Hambly, T Kumagai, S Kusuoka, XY Zhou Transition density estimates for diffusion processes on homogeneous random Sierpinski carpets Transition density estimates for diffusion processes on homogeneous random Sierpinski carpets Transition density estimates for diffusion processes on homogeneous random Sierpinski carpets JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 52, 2, 373-408 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 52, 2, 373-408 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 52, 2, 373-408 2000/04 英語 研究論文(学術雑誌) 公開
G Ben Arous, T Kumagai G Ben Arous, T Kumagai G Ben Arous, T Kumagai Large deviations for Brownian motion on the Sierpinski gasket Large deviations for Brownian motion on the Sierpinski gasket Large deviations for Brownian motion on the Sierpinski gasket STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 85, 2, 225-235 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 85, 2, 225-235 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 85, 2, 225-235 2000/02 英語 研究論文(学術雑誌) 公開
T Kumagai T Kumagai T Kumagai Brownian motion penetrating fractals - An application of the trace theorem of Besov spaces Brownian motion penetrating fractals - An application of the trace theorem of Besov spaces Brownian motion penetrating fractals - An application of the trace theorem of Besov spaces JOURNAL OF FUNCTIONAL ANALYSIS, 170, 1, 69-92 JOURNAL OF FUNCTIONAL ANALYSIS, 170, 1, 69-92 JOURNAL OF FUNCTIONAL ANALYSIS, 170, 1, 69-92 2000/01 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 熊谷 隆 Stochastic processes on fractals and related topics Stochastic processes on fractals and related topics Stochastic processes on fractals and related topics Sugaku Expositions , American Mathematical Society,13/1,55-71 Sugaku Expositions , American Mathematical Society,13/1,55-71 Sugaku Expositions , American Mathematical Society,13/1,55-71 2000 英語 公開
BM Hambly, T Kumagai BM Hambly, T Kumagai BM Hambly, T Kumagai Transition density estimates for diffusion processes on post critically finite self-similar fractals Transition density estimates for diffusion processes on post critically finite self-similar fractals Transition density estimates for diffusion processes on post critically finite self-similar fractals PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 78, 431-458 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 78, 431-458 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 78, 431-458 1999/03 英語 研究論文(学術雑誌) 公開
BM Hambly, T Kumagai BM Hambly, T Kumagai BM Hambly, T Kumagai Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals POTENTIAL ANALYSIS, 8, 4, 359-397 POTENTIAL ANALYSIS, 8, 4, 359-397 POTENTIAL ANALYSIS, 8, 4, 359-397 1998/06 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 フラクタル上の確率過程とその周辺 フラクタル上の確率過程とその周辺 数学, 49, 2, 158-172 数学, 49, 2, 158-172 , 49, 2, 158-172 1997/04 日本語 公開
T Kumagai T Kumagai T Kumagai Short time asymptotic behaviour and large deviation for Brownian motion on some affine nested fractals Short time asymptotic behaviour and large deviation for Brownian motion on some affine nested fractals Short time asymptotic behaviour and large deviation for Brownian motion on some affine nested fractals PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 33, 2, 223-240 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 33, 2, 223-240 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 33, 2, 223-240 1997/03 英語 研究論文(学術雑誌) 公開
T Kumagai T Kumagai T Kumagai Percolation on pre-Sierpinski carpets Percolation on pre-Sierpinski carpets Percolation on pre-Sierpinski carpets NEW TRENDS IN STOCHASTIC ANALYSIS, 288-304 NEW TRENDS IN STOCHASTIC ANALYSIS, 288-304 NEW TRENDS IN STOCHASTIC ANALYSIS, 288-304 1997 英語 研究論文(国際会議プロシーディングス) 公開
熊谷 隆 熊谷 隆 熊谷 隆 Stochastic processes on fractals and related topics (in Japanese) Stochastic processes on fractals and related topics (in Japanese) Stochastic processes on fractals and related topics (in Japanese) Sugaku, Iwanami-shoten,49/2, 158-172 Sugaku, Iwanami-shoten,49/2, 158-172 Sugaku, Iwanami-shoten,49/2, 158-172 1997 英語 公開
T Kumagai, S Kusuoka T Kumagai, S Kusuoka T Kumagai, S Kusuoka Homogenization on nested fractals Homogenization on nested fractals Homogenization on nested fractals PROBABILITY THEORY AND RELATED FIELDS, 104, 3, 375-398 PROBABILITY THEORY AND RELATED FIELDS, 104, 3, 375-398 PROBABILITY THEORY AND RELATED FIELDS, 104, 3, 375-398 1996/03 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 熊谷 隆 Rotation invariance and characterization of a class of self-similar diffusion processes on the Sierpinski gasket. Rotation invariance and characterization of a class of self-similar diffusion processes on the Sierpinski gasket. Rotation invariance and characterization of a class of self-similar diffusion processes on the Sierpinski gasket. "Algorithms, Fractals, and Dynamics. ", Plenum,/,131-142 "Algorithms, Fractals, and Dynamics. ", Plenum,/,131-142 "Algorithms, Fractals, and Dynamics. ", Plenum,/,131-142 1995 英語 公開
PJ FITZSIMMONS, BM HAMBLY, T KUMAGAI PJ FITZSIMMONS, BM HAMBLY, T KUMAGAI PJ FITZSIMMONS, BM HAMBLY, T KUMAGAI TRANSITION DENSITY ESTIMATES FOR BROWNIAN-MOTION ON AFFINE NESTED FRACTALS TRANSITION DENSITY ESTIMATES FOR BROWNIAN-MOTION ON AFFINE NESTED FRACTALS TRANSITION DENSITY ESTIMATES FOR BROWNIAN-MOTION ON AFFINE NESTED FRACTALS COMMUNICATIONS IN MATHEMATICAL PHYSICS, 165, 3, 595-620 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 165, 3, 595-620 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 165, 3, 595-620 1994/10 英語 研究論文(学術雑誌) 公開
T KUMAGAI T KUMAGAI T KUMAGAI REGULARITY, CLOSEDNESS AND SPECTRAL DIMENSIONS OF THE DIRICHLET FORMS ON PCF SELF-SIMILAR SETS REGULARITY, CLOSEDNESS AND SPECTRAL DIMENSIONS OF THE DIRICHLET FORMS ON PCF SELF-SIMILAR SETS REGULARITY, CLOSEDNESS AND SPECTRAL DIMENSIONS OF THE DIRICHLET FORMS ON PCF SELF-SIMILAR SETS JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 33, 3, 765-786 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 33, 3, 765-786 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 33, 3, 765-786 1993/10 英語 研究論文(学術雑誌) 公開
T KUMAGAI T KUMAGAI T KUMAGAI ESTIMATES OF TRANSITION DENSITIES FOR BROWNIAN-MOTION ON NESTED FRACTALS ESTIMATES OF TRANSITION DENSITIES FOR BROWNIAN-MOTION ON NESTED FRACTALS ESTIMATES OF TRANSITION DENSITIES FOR BROWNIAN-MOTION ON NESTED FRACTALS PROBABILITY THEORY AND RELATED FIELDS, 96, 2, 205-224 PROBABILITY THEORY AND RELATED FIELDS, 96, 2, 205-224 PROBABILITY THEORY AND RELATED FIELDS, 96, 2, 205-224 1993/07 英語 研究論文(学術雑誌) 公開
熊谷 隆 熊谷 隆 熊谷 隆 Construction and some properties of a class of non-symmetric diffusion processes on the Sierpinski gasket. Construction and some properties of a class of non-symmetric diffusion processes on the Sierpinski gasket. Construction and some properties of a class of non-symmetric diffusion processes on the Sierpinski gasket. "Asymptotic Problems in Probability Theory : stochastic models and diffusions on fractals. " , Pitman,219-247 "Asymptotic Problems in Probability Theory : stochastic models and diffusions on fractals. " , Pitman,219-247 "Asymptotic Problems in Probability Theory : stochastic models and diffusions on fractals. " , Pitman,219-247 1993 英語 公開

  • <<
  • >>
  • 表示
タイトル言語:
Misc
著者 著者(日本語) 著者(英語) タイトル タイトル(日本語) タイトル(英語) 書誌情報等 書誌情報等(日本語) 書誌情報等(英語) 出版年月 査読の有無 記述言語 掲載種別 公開
熊谷 隆 熊谷 隆 フィールズ賞で語る現代数学 21 ー確率論 フィールズ賞で語る現代数学 21 ー確率論 数理科学, 61-67 数理科学, 61-67 , 61-67 2018/02 日本語 総説・解説(商業誌、新聞、ウェブメディア) 公開
熊谷 隆 熊谷 隆 ランダム媒質とフラクタル ランダム媒質とフラクタル 数学セミナー, 26-31 数学セミナー, 26-31 , 26-31 2017/03 日本語 総説・解説(商業誌、新聞、ウェブメディア) 公開
熊谷 隆 熊谷 隆 数理科学への確率論によるアプローチ 数理科学への確率論によるアプローチ 数理科学, 5-6 数理科学, 5-6 , 5-6 2016/06 日本語 総説・解説(商業誌、新聞、ウェブメディア) 公開
Zhen-Qing Chen, Panki Kim, Takashi Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai Zhen-Qing Chen, Panki Kim, Takashi Kumagai GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES (vol 363, pg 5021, 2011) GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES (vol 363, pg 5021, 2011) GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES (vol 363, pg 5021, 2011) TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 367, 10, 7515-7515 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 367, 10, 7515-7515 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 367, 10, 7515-7515 2015/10 英語 その他記事 公開
熊谷 隆 熊谷 隆 マルコフ連鎖と混合時間 ―カード・シヤツフルの数理― マルコフ連鎖と混合時間 ―カード・シヤツフルの数理― 平成23 年8 月1 日から8 月5 日(第33 回)受講者数102 (延べ348) 平成23 年8 月1 日から8 月5 日(第33 回)受講者数102 (延べ348) 2011 日本語 公開
熊谷 隆 熊谷 隆 臨界確率における確率モデルの熱伝導について 臨界確率における確率モデルの熱伝導について 数理研 9.27 数理研 9.27 2006 日本語 公開
BM Hambly, J Kigami, T Kumagai BM Hambly, J Kigami, T Kumagai BM Hambly, J Kigami, T Kumagai Multifractal formalisms for the local spectral and walk dimensions Multifractal formalisms for the local spectral and walk dimensions Multifractal formalisms for the local spectral and walk dimensions MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 132, 555-571 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 132, 555-571 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 132, 555-571 2002/05 英語 公開
熊谷 隆 熊谷 隆 フラクタル上の解析学 フラクタル上の解析学 「数理科学」(サイエンス社),/8,58-65 「数理科学」(サイエンス社),/8,58-65 1999 日本語 公開
熊谷 隆 熊谷 隆 現代数学スナップショット/フラクタル図形の上の確率過程 現代数学スナップショット/フラクタル図形の上の確率過程 数学セミナ-, 36, 6, 44-48 数学セミナ-, 36, 6, 44-48 , 36, 6, 44-48 1997/06 日本語 公開
タイトル言語:
講演・口頭発表等
タイトル タイトル(日本語) タイトル(英語) 会議名 会議名(日本語) 会議名(英語) 主催者 主催者(日本語) 主催者(英語) 開催年月日 記述言語 会議種別 公開
複雑な系の上の異常拡散現象 複雑な系の上の異常拡散現象 Anomalous behavior of diffusions on disordered media 明治非線型数理セミナー 明治非線型数理セミナー 明治非線型数理セミナー 2020/01/21 公開講演、セミナー、チュートリアル、講習、講義 公開
Simple random walk on the two-dimensional uniform spanning tree[招待あり] Simple random walk on the two-dimensional uniform spanning tree [招待あり] Simple random walk on the two-dimensional uniform spanning tree [招待あり] Mar Kac seminar (Utrecht) Mar Kac seminar (Utrecht) Mar Kac seminar (Utrecht) 2019/12/06 公開講演、セミナー、チュートリアル、講習、講義 公開
Anomalous diffusions and time fractional differential equations[招待あり] Anomalous diffusions and time fractional differential equations [招待あり] Anomalous diffusions and time fractional differential equations [招待あり] Colloquium at Bielefeld University Colloquium at Bielefeld University Colloquium at Bielefeld University 2019/11/07 公開講演、セミナー、チュートリアル、講習、講義 公開
Anomalous random walk and diffusion: from fractals to random media[招待あり] Anomalous random walk and diffusion: from fractals to random media [招待あり] Anomalous random walk and diffusion: from fractals to random media [招待あり] Colloquium at Shanghai JiaoTong University Colloquium at Shanghai JiaoTong University Colloquium at Shanghai JiaoTong University 2019/10/21 公開講演、セミナー、チュートリアル、講習、講義 公開
Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms[招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms [招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms [招待あり] Realizing the Potential -- Theory in Bielefeld Realizing the Potential -- Theory in Bielefeld Realizing the Potential -- Theory in Bielefeld 2019/09/28 英語 口頭発表(招待・特別) 公開
Anomalous random walk and diffusion: from fractals to random media[招待あり] Anomalous random walk and diffusion: from fractals to random media [招待あり] Anomalous random walk and diffusion: from fractals to random media [招待あり] 50 Years of Mathematics at Bielefeld 50 Years of Mathematics at Bielefeld 50 Years of Mathematics at Bielefeld 2019/09/27 英語 口頭発表(基調) 公開
Homogenization of (symmetric) stable-like processes in random media[招待あり] Homogenization of (symmetric) stable-like processes in random media [招待あり] Homogenization of (symmetric) stable-like processes in random media [招待あり] Probability Seminar at Tianjin University Probability Seminar at Tianjin University Probability Seminar at Tianjin University 2019/09/23 公開講演、セミナー、チュートリアル、講習、講義 公開
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree[招待あり] Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree [招待あり] Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree [招待あり] Analysis and PDEs on Manifolds and Fractals Analysis and PDEs on Manifolds and Fractals Analysis and PDEs on Manifolds and Fractals 2019/09/23 英語 口頭発表(招待・特別) 公開
Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms[招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms [招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms [招待あり] Japanese-German Open Conference on Stochastic Analysis 2019 Japanese-German Open Conference on Stochastic Analysis 2019 Japanese-German Open Conference on Stochastic Analysis 2019 2019/09/02 口頭発表(招待・特別) 公開
Anomalous random walk and diffusion in random media[招待あり] Anomalous random walk and diffusion in random media [招待あり] Anomalous random walk and diffusion in random media [招待あり] BMS Friday Colloquium BMS Friday Colloquium BMS Friday Colloquium 2019/07/05 英語 口頭発表(招待・特別) 公開
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms[招待あり] Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms [招待あり] Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms [招待あり] Walking through the Brownian Zoo Walking through the Brownian Zoo Walking through the Brownian Zoo 2019/06/03 英語 口頭発表(招待・特別) 公開
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree[招待あり] Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree [招待あり] Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree [招待あり] Probabilistic methods in statistical mechanics of random media Probabilistic methods in statistical mechanics of random media Probabilistic methods in statistical mechanics of random media 2019/05/27 英語 口頭発表(招待・特別) 公開
Homogenization of (symmetric) stable-like processes in random media[招待あり] Homogenization of (symmetric) stable-like processes in random media [招待あり] Homogenization of (symmetric) stable-like processes in random media [招待あり] Spring Probability Workshop at Academia Sinica Spring Probability Workshop at Academia Sinica Spring Probability Workshop at Academia Sinica 2019/05/20 英語 口頭発表(招待・特別) 公開
Homogenization of symmetric stable-like processes in random media Homogenization of symmetric stable-like processes in random media Homogenization of symmetric stable-like processes in random media Potential Analysis and its Related Fields 2019 Potential Analysis and its Related Fields 2019 Potential Analysis and its Related Fields 2019 2019/02/11 英語 口頭発表(招待・特別) 公開
Homogenization of symmetric stable-like processes in random media Homogenization of symmetric stable-like processes in random media Homogenization of symmetric stable-like processes in random media Advances in Asymptotic Probability, Stanford University Advances in Asymptotic Probability, Stanford University Advances in Asymptotic Probability, Stanford University 2018/12/16 英語 口頭発表(招待・特別) 公開
Quenched invariance principle for random walks among random conductances with stable-like jumps Quenched invariance principle for random walks among random conductances with stable-like jumps Quenched invariance principle for random walks among random conductances with stable-like jumps Non Standard Diffusions in Fluids, Kinetic Equations and Probability at CIRM Non Standard Diffusions in Fluids, Kinetic Equations and Probability at CIRM Non Standard Diffusions in Fluids, Kinetic Equations and Probability at CIRM 2018/12/10 英語 口頭発表(招待・特別) 公開
Quenched invariance principle for random walks among random conductances with stable-like jumps Quenched invariance principle for random walks among random conductances with stable-like jumps Quenched invariance principle for random walks among random conductances with stable-like jumps Probability Afternoon at TU-Dresden Probability Afternoon at TU-Dresden Probability Afternoon at TU-Dresden 2018/11/01 英語 口頭発表(招待・特別) 公開
Quenched invariance principle for random walks among random conductances with stable-like jumps Quenched invariance principle for random walks among random conductances with stable-like jumps Quenched invariance principle for random walks among random conductances with stable-like jumps Montreal Summer Workshop on Challenges in Probability and Mathematical Physics at CRM Montreal Summer Workshop on Challenges in Probability and Mathematical Physics at CRM Montreal Summer Workshop on Challenges in Probability and Mathematical Physics at CRM 2018/07/16 英語 口頭発表(招待・特別) 公開
Quenched invariance principle for random walks among random conductances with stable-like jumps Quenched invariance principle for random walks among random conductances with stable-like jumps Quenched invariance principle for random walks among random conductances with stable-like jumps Interplay of Random Media and Stochastic Interface Models Interplay of Random Media and Stochastic Interface Models Interplay of Random Media and Stochastic Interface Models 2018/06/26 英語 口頭発表(招待・特別) 公開
Quenched invariance principle for random walks among random conductances with stable-like jumps[招待あり] Quenched invariance principle for random walks among random conductances with stable-like jumps [招待あり] Quenched invariance principle for random walks among random conductances with stable-like jumps [招待あり] Sixth Bielefeld-SNU Joint Workshop in Mathematics, Seoul Sixth Bielefeld-SNU Joint Workshop in Mathematics, Seoul Sixth Bielefeld-SNU Joint Workshop in Mathematics, Seoul 2018/03/15 英語 口頭発表(招待・特別) 公開
Quenched invariance principle for random walks among random conductances with stable-like jumps[招待あり] Quenched invariance principle for random walks among random conductances with stable-like jumps [招待あり] Quenched invariance principle for random walks among random conductances with stable-like jumps [招待あり] Interplay of Analysis and Probability in Applied Mathematics Interplay of Analysis and Probability in Applied Mathematics Interplay of Analysis and Probability in Applied Mathematics 2018/02/12 英語 口頭発表(招待・特別) 公開
飛躍型対称確率過程のポテンシャル論とその応用[招待あり] 飛躍型対称確率過程のポテンシャル論とその応用 [招待あり] 九州大学数理談話会 九州大学数理談話会 2018/01/11 日本語 口頭発表(招待・特別) 公開
大阪科学賞受賞記念講演[招待あり] 大阪科学賞受賞記念講演 [招待あり] 大阪科学賞受賞記念講演 大阪科学賞受賞記念講演 2017/11/15 日本語 口頭発表(招待・特別) 公開
Convergence of random walks for trap models on disordered media[招待あり] Convergence of random walks for trap models on disordered media [招待あり] Convergence of random walks for trap models on disordered media [招待あり] International Conference on Spatial Probability and Statistical Physics International Conference on Spatial Probability and Statistical Physics International Conference on Spatial Probability and Statistical Physics 2017/10/20 英語 口頭発表(招待・特別) 公開
Convergence of random walks for trap models on disordered media[招待あり] Convergence of random walks for trap models on disordered media [招待あり] Convergence of random walks for trap models on disordered media [招待あり] German-Japanese Open Conference on Stochastic Analysis 2017 German-Japanese Open Conference on Stochastic Analysis 2017 German-Japanese Open Conference on Stochastic Analysis 2017 2017/09/04 英語 口頭発表(招待・特別) 公開
Heat kernel estimates for time fractional equations Heat kernel estimates for time fractional equations Heat kernel estimates for time fractional equations Workshop on jump processes and stochastic analysis 2017 at Dresden Workshop on jump processes and stochastic analysis 2017 at Dresden Workshop on jump processes and stochastic analysis 2017 at Dresden 2017/09/02 英語 口頭発表(招待・特別) 公開
Potential theory for symmetric jump processes and applications[招待あり] Potential theory for symmetric jump processes and applications [招待あり] Potential theory for symmetric jump processes and applications [招待あり] SPA 2017 in Moscow (Medallion Lecture) SPA 2017 in Moscow (Medallion Lecture) SPA 2017 in Moscow (Medallion Lecture) 2017/07/26 英語 口頭発表(招待・特別) 公開
Heat kernel estimates for time fractional equations[招待あり] Heat kernel estimates for time fractional equations [招待あり] Heat kernel estimates for time fractional equations [招待あり] 13th Workshop on Markov Processes and Related Topics at Wuhan 13th Workshop on Markov Processes and Related Topics at Wuhan 13th Workshop on Markov Processes and Related Topics at Wuhan 2017/07/19 英語 口頭発表(招待・特別) 公開
Convergence of random walks for trap models on disordered media[招待あり] Convergence of random walks for trap models on disordered media [招待あり] Convergence of random walks for trap models on disordered media [招待あり] Dynamics, aging and universality in complex systems, NYU Dynamics, aging and universality in complex systems, NYU Dynamics, aging and universality in complex systems, NYU 2017/06/22 英語 口頭発表(招待・特別) 公開
Time changes of stochastic processes associated with resistance forms[招待あり] Time changes of stochastic processes associated with resistance forms [招待あり] Time changes of stochastic processes associated with resistance forms [招待あり] 6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals 6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals 6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals 2017/06/13 英語 口頭発表(招待・特別) 公開
Time changes of stochastic processes: Convergence and heat kernel estimates[招待あり] Time changes of stochastic processes: Convergence and heat kernel estimates [招待あり] Time changes of stochastic processes: Convergence and heat kernel estimates [招待あり] Random walks with memory at CIRM Random walks with memory at CIRM Random walks with memory at CIRM 2017/05/30 英語 口頭発表(招待・特別) 公開
Lamplighter random walks on fractals[招待あり] Lamplighter random walks on fractals [招待あり] Lamplighter random walks on fractals. [招待あり] 3rd Workshop on Probability Theory and its Applications 3rd Workshop on Probability Theory and its Applications 3rd Workshop on Probability Theory and its Applications 2016/12/13 英語 口頭発表(招待・特別) 公開
Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces[招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces [招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces [招待あり] SPDE and Related Fields, Bielefeld University SPDE and Related Fields, Bielefeld University SPDE and Related Fields, Bielefeld University 2016/10/10 英語 口頭発表(招待・特別) 公開
複雑な系の上の異常拡散現象の解析[招待あり] 複雑な系の上の異常拡散現象の解析 [招待あり] Analysis on anomalous diffusions on disordered media [招待あり] 日本数学会秋季総合分科会、企画特別講演 日本数学会秋季総合分科会、企画特別講演 2016/09/15 日本語 口頭発表(招待・特別) 公開
Time changes of stochastic processes associated with resistance forms[招待あり] Time changes of stochastic processes associated with resistance forms [招待あり] Time changes of stochastic processes associated with resistance forms [招待あり] Random Structures in High Dimensions: CMO-BIRS workshop Random Structures in High Dimensions: CMO-BIRS workshop Random Structures in High Dimensions: CMO-BIRS workshop 2016/06/30 英語 口頭発表(招待・特別) 公開
Time changes of stochastic processes on fractals[招待あり] Time changes of stochastic processes on fractals [招待あり] Time changes of stochastic processes on fractals [招待あり] Fractality and Fractionality Fractality and Fractionality Fractality and Fractionality 2016/05/18 英語 口頭発表(招待・特別) 公開
Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces[招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces [招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces [招待あり] 1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas 1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas 1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas 2016/03/22 英語 口頭発表(招待・特別) 公開
Recent topics on random conductance model[招待あり] Recent topics on random conductance model [招待あり] Recent topics on random conductance model [招待あり] 2016 Spring Probability Workshop at Academia Sinica 2016 Spring Probability Workshop at Academia Sinica 2016 Spring Probability Workshop at Academia Sinica 2016/03/07 英語 口頭発表(招待・特別) 公開
Anomalous random walks and diffusions in random media[招待あり] Anomalous random walks and diffusions in random media [招待あり] Anomalous random walks and diffusions in random media [招待あり] International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics 2015/11/12 英語 口頭発表(招待・特別) 公開
Harnack inequalities and local CLT for the polynomial lower tail random conductance model[招待あり] Harnack inequalities and local CLT for the polynomial lower tail random conductance model [招待あり] Harnack inequalities and local CLT for the polynomial lower tail random conductance model [招待あり] Stochastic Analysis Stochastic Analysis Stochastic Analysis 2015/09/10 英語 口頭発表(招待・特別) 公開
Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces[招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces [招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces [招待あり] International Conference on Stochastic Analysis and Related Topics International Conference on Stochastic Analysis and Related Topics International Conference on Stochastic Analysis and Related Topics 2015/08/05 英語 口頭発表(招待・特別) 公開
Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces[招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces [招待あり] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces [招待あり] SPA 2015 at Oxford, 2015 SPA 2015 at Oxford, 2015 SPA 2015 at Oxford, 2015 2015/07/15 英語 口頭発表(招待・特別) 公開
Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero[招待あり] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero [招待あり] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero [招待あり] University of Bath Probability Seminar University of Bath Probability Seminar University of Bath Probability Seminar 2015/06/08 英語 口頭発表(招待・特別) 公開
Anomalous random walks and their scaling limits: From fractals to random media[招待あり] Anomalous random walks and their scaling limits: From fractals to random media [招待あり] Anomalous random walks and their scaling limits: From fractals to random media [招待あり] Colloquium at Humboldt University Colloquium at Humboldt University Colloquium at Humboldt University 2014/10/29 英語 口頭発表(招待・特別) 公開
Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero[招待あり] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero [招待あり] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero [招待あり] 1st PAJAKO Workshop at TU-Dresden 1st PAJAKO Workshop at TU-Dresden 1st PAJAKO Workshop at TU-Dresden 2014/10/27 英語 口頭発表(招待・特別) 公開
Quenched Invariance Principle for a class of random conductance mod- els with long-range jump[招待あり] Quenched Invariance Principle for a class of random conductance mod- els with long-range jump [招待あり] Quenched Invariance Principle for a class of random conductance mod- els with long-range jump [招待あり] Oberwolfach Workshop Oberwolfach Workshop Oberwolfach Workshop 2014/10/21 英語 口頭発表(招待・特別) 公開
Anomalous Random Walks and Diffusions[招待あり] Anomalous Random Walks and Diffusions [招待あり] Anomalous Random Walks and Diffusions [招待あり] ICM Seoul 2014 ICM Seoul 2014 ICM Seoul 2014 2014/08/14 英語 口頭発表(招待・特別) 公開
Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero[招待あり] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero [招待あり] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero [招待あり] 7th ICSAA at Seoul National University 7th ICSAA at Seoul National University 7th ICSAA at Seoul National University 2014/08/06 英語 口頭発表(招待・特別) 公開
Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero[招待あり] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero [招待あり] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero [招待あり] ASC-IMS 2014 Annual Meeting at Sydney ASC-IMS 2014 Annual Meeting at Sydney ASC-IMS 2014 Annual Meeting at Sydney 2014/07/07 英語 口頭発表(招待・特別) 公開
Simple random walk on the two-dimensional uniform spanning tree and its scaling limits Simple random walk on the two-dimensional uniform spanning tree and its scaling limits Simple random walk on the two-dimensional uniform spanning tree and its scaling limits 5th Cornell Conference on Analysis, Probability and Mathematical Physics on Fractals 5th Cornell Conference on Analysis, Probability and Mathematical Physics on Fractals 5th Cornell Conference on Analysis, Probability and Mathematical Physics on Fractals 2014/06/11 英語 口頭発表(招待・特別) 公開
Simple random walk on the two-dimensional uniform spanning tree and its scaling limits[招待あり] Simple random walk on the two-dimensional uniform spanning tree and its scaling limits [招待あり] Simple random walk on the two-dimensional uniform spanning tree and its scaling limits [招待あり] Warwick EPSRC Symposium on Statistical Mechanics Warwick EPSRC Symposium on Statistical Mechanics Warwick EPSRC Symposium on Statistical Mechanics 2014/05/27 英語 口頭発表(招待・特別) 公開
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree[招待あり] Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree [招待あり] Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree [招待あり] Spring probability workshop in 2014, NCTS, National Tsing Hua University Spring probability workshop in 2014, NCTS, National Tsing Hua University Spring probability workshop in 2014, NCTS, National Tsing Hua University 2014/03/11 英語 口頭発表(招待・特別) 公開
Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary[招待あり] Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary [招待あり] Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary [招待あり] German-Japanese workshop in Leipzig German-Japanese workshop in Leipzig German-Japanese workshop in Leipzig 2013/09/10 英語 口頭発表(招待・特別) 公開
Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary[招待あり] Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary [招待あり] Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary [招待あり] PRIMA 2013 PRIMA 2013 PRIMA 2013 2013/06/25 英語 口頭発表(招待・特別) 公開
Random walks on disordered media and their scaling limits Random walks on disordered media and their scaling limits Random walks on disordered media and their scaling limits MSJ-KMS Joint Meeting 2012 MSJ-KMS Joint Meeting 2012 MSJ-KMS Joint Meeting 2012 日本数学会、韓国数学会 日本数学会、韓国数学会 2012/09 英語 口頭発表(招待・特別) 公開
Random walks on graphs 10:45-12:00 and applications to random media Random walks on graphs 10:45-12:00 and applications to random media Random walks on graphs 10:45-12:00 and applications to random media Spring School in Probability, 23-27 April 2012, Dubrovnik, Croatia( Spring School in Probability, 23-27 April 2012, Dubrovnik, Croatia( Spring School in Probability, 23-27 April 2012, Dubrovnik, Croatia( 2012/04 英語 口頭発表(招待・特別) 公開
Quenched invariance principle for random walks and random divergence forms in random media on cones Quenched invariance principle for random walks and random divergence forms in random media on cones Quenched invariance principle for random walks and random divergence forms in random media on cones The expanding art of expansions, Eurandom, Netherlands The expanding art of expansions, Eurandom, Netherlands The expanding art of expansions, Eurandom, Netherlands 2012/02 英語 口頭発表(招待・特別) 公開
Convergence of mixing times for sequences of random walks on finite graphs Convergence of mixing times for sequences of random walks on finite graphs Convergence of mixing times for sequences of random walks on finite graphs 4th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals, Cornell University 4th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals, Cornell University 4th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals, Cornell University Cornell University Cornell University 2011/09 英語 口頭発表(招待・特別) 公開
Markov chain approximations to non-symmetric diffusions with bounded coefficients Markov chain approximations to non-symmetric diffusions with bounded coefficients Markov chain approximations to non-symmetric diffusions with bounded coefficients 5th inter- national conferences on Stochastic Analysis and its Applications, Bonn, Germany, 5th inter- national conferences on Stochastic Analysis and its Applications, Bonn, Germany, 5th inter- national conferences on Stochastic Analysis and its Applications, Bonn, Germany, 2011/09 英語 口頭発表(基調) 公開
Random walks on graphs and applications to random media Random walks on graphs and applications to random media Random walks on graphs and applications to random media The First NIMS Summer School in Probability 2011, 15-26, Daejeon, Korea The First NIMS Summer School in Probability 2011, 15-26, Daejeon, Korea The First NIMS Summer School in Probability 2011, 15-26, Daejeon, Korea 2011/08 英語 口頭発表(招待・特別) 公開
On the equivalence of parabolic Harnack inequalities and heat kernel estimates On the equivalence of parabolic Harnack inequalities and heat kernel estimates On the equivalence of parabolic Harnack inequalities and heat kernel estimates Seminar, Aalto University, Finland Seminar, Aalto University, Finland Seminar, Aalto University, Finland Aalto University Aalto University 2011/06 英語 口頭発表(招待・特別) 公開
Convergence of mixing times for sequences of random walks on graphs Convergence of mixing times for sequences of random walks on graphs Convergence of mixing times for sequences of random walks on graphs Stochastic Analysis, Oberwolfach, Germany Stochastic Analysis, Oberwolfach, Germany Stochastic Analysis, Oberwolfach, Germany 2011/06 英語 口頭発表(招待・特別) 公開
Convergence of mixing times for sequences of simple random walks on graphs Convergence of mixing times for sequences of simple random walks on graphs Convergence of mixing times for sequences of simple random walks on graphs Combinatorics and Analysis in Spatial Probability, Eurandom Combinatorics and Analysis in Spatial Probability, Eurandom Combinatorics and Analysis in Spatial Probability, Eurandom 2010/12 英語 口頭発表(招待・特別) 公開
Convergence of symmetric Markov chains on Zd Convergence of symmetric Markov chains on Zd Convergence of symmetric Markov chains on Zd 34th conference on Stochastic Processes and Their Applications, Osaka 34th conference on Stochastic Processes and Their Applications, Osaka 34th conference on Stochastic Processes and Their Applications, Osaka 2010/07 英語 口頭発表(基調) 公開
Parabolic Harnack inequalities for stable-like processes on metric measure spaces (2 Lectures), Parabolic Harnack inequalities for stable-like processes on metric measure spaces (2 Lectures), Parabolic Harnack inequalities for stable-like processes on metric measure spaces (2 Lectures), 6th Cornell Probability Summer School, Cornell University 6th Cornell Probability Summer School, Cornell University 6th Cornell Probability Summer School, Cornell University 2010/07 英語 口頭発表(招待・特別) 公開
Random walks on disordered media and their scaling limits (8 Lectures) Random walks on disordered media and their scaling limits (8 Lectures) Random walks on disordered media and their scaling limits (8 Lectures) 0th Probability Summer School, St. Flour 0th Probability Summer School, St. Flour 0th Probability Summer School, St. Flour 2010/07 英語 口頭発表(招待・特別) 公開
Convergence of centered Markov chains to non-symmetric diffusions with bounded coefficients Convergence of centered Markov chains to non-symmetric diffusions with bounded coefficients Convergence of centered Markov chains to non-symmetric diffusions with bounded coefficients Random walks, random environments, reinforcement, Marseilles Random walks, random environments, reinforcement, Marseilles Random walks, random environments, reinforcement, Marseilles 2010/05 英語 口頭発表(招待・特別) 公開

  • <<
  • >>
  • 表示
タイトル言語:
書籍等出版物
著者 著者(日本語) 著者(英語) タイトル タイトル(日本語) タイトル(英語) 出版社 出版社(日本語) 出版社(英語) 出版年月 記述言語 担当区分 公開
熊谷 隆 熊谷 隆 KUMAGAI Takashi Random Walks on Disordered Media and their Scaling Limits. Random Walks on Disordered Media and their Scaling Limits. Random Walks on Disordered Media and their Scaling Limits. Springer Springer Springer 2014/02 単著 公開
熊谷 隆 熊谷 隆 Probabilistic approach to geometry. Papers from the 1st Conference of the Seasonal Institute of the Mathematical Society of Japan held at Kyoto University, Kyoto, July 28–August 8, 2008.「(共編)」 Probabilistic approach to geometry. Papers from the 1st Conference of the Seasonal Institute of the Mathematical Society of Japan held at Kyoto University, Kyoto, July 28–August 8, 2008.「(共編)」 Advanced Studies in Pure Mathematics, 57. Mathematical Society of Japan, Tokyo, 2010. xvi+514 pp. Advanced Studies in Pure Mathematics, 57. Mathematical Society of Japan, Tokyo, 2010. xvi+514 pp. 2010 日本語 公開
熊谷 隆 熊谷 隆 熊谷 隆 Homogenization on finitely ramified fractals Homogenization on finitely ramified fractals Homogenization on finitely ramified fractals Advanced Studies in Pure Math., 41, Stochastic Analysis and Related Topics in Kyoto (H. Kunita et al. (eds.)), MSJ,189-207 Advanced Studies in Pure Math., 41, Stochastic Analysis and Related Topics in Kyoto (H. Kunita et al. (eds.)), MSJ,189-207 Advanced Studies in Pure Math., 41, Stochastic Analysis and Related Topics in Kyoto (H. Kunita et al. (eds.)), MSJ,189-207 2004 英語 公開
熊谷 隆 熊谷 隆 Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries「(共著)」 Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries「(共著)」 In: Fractal geometry and applications: A Jubilee of B. Mandelbrot (M.L. Lapidus and M. van Frankenhuijsen (eds.)), Proc. of Symposia in Pure Math., Amer. Math. Soc.,72/2, 233-260 In: Fractal geometry and applications: A Jubilee of B. Mandelbrot (M.L. Lapidus and M. van Frankenhuijsen (eds.)), Proc. of Symposia in Pure Math., Amer. Math. Soc.,72/2, 233-260 2004 日本語 公開
熊谷 隆 熊谷 隆 熊谷 隆 Function spaces and stochastic processes on fractals Function spaces and stochastic processes on fractals Function spaces and stochastic processes on fractals In: Fractal geometry and stochastics III (C. Bandt et al. (eds.)), Progr. Probab., Birkhauser,57, 221-234 In: Fractal geometry and stochastics III (C. Bandt et al. (eds.)), Progr. Probab., Birkhauser,57, 221-234 In: Fractal geometry and stochastics III (C. Bandt et al. (eds.)), Progr. Probab., Birkhauser,57, 221-234 2004 英語 公開
熊谷 隆 熊谷 隆 確率論 確率論 共立出版, 共立出版, 2003 日本語 公開
熊谷 隆 熊谷 隆 熊谷 隆 Some remarks for stable-like jump processes on fractals Some remarks for stable-like jump processes on fractals Some remarks for stable-like jump processes on fractals In: Trends in Math., Fractals in Graz 2001 (P. Grabner and W. Woess (eds.)),185-196 In: Trends in Math., Fractals in Graz 2001 (P. Grabner and W. Woess (eds.)),185-196 In: Trends in Math., Fractals in Graz 2001 (P. Grabner and W. Woess (eds.)),185-196 2002 英語 公開
タイトル言語:
学術賞等
賞の名称(日本語) 賞の名称(英語) 授与組織名(日本語) 授与組織名(英語) 年月
日本数学会建部賞 Takebe-Award, Math. Soc. Japan 日本数学会 Math. Soc. Japan 1997
日本数学会賞春季賞 Prize of the Mathematical Society of Japan 日本数学会 Math. Soc. Japan 2004
日本学術振興会賞 JSPS Prize 日本学術振興会 JSPS 2012/02/
井上学術賞 Inoue Prize for Science 井上科学振興財団 Inoue Foundation for Science 2017/02/
大阪科学賞 Osaka Science Prize 大阪市、大阪府、大阪科学技術センター Osaka Prefecture, Osaka City, Osaka Science and Technology Center 2017/11/
フンボルト賞 Humboldt Research Award アレクサンダー・フォン・フンボルト財団 Die Alexander von Humboldt-Stiftung 2017/11/
記事報道
発表タイトル メディア名 掲載欄/番組名 年月日
大阪科学賞 熊谷隆氏と原隆浩氏に 毎日新聞他 サイエンス欄 2017/09/14
自ら企画した研究集会
集会名 学会名 年月
Random processes and systems Kyoto University 2009/02/
XXIst Rolf Nevanlinna Colloquium (Member of the organizing committee) Kyoto University 2009/09/
Topics on Random Media Kyoto University 2009/09/
4th International Conference on Stochastic Analysis and Its Applications (Member of the organizing committee) Kansai University 2010/09/
5th International Conference on Stochastic Analysis and Its Applications (Member of the scientific committee) Bonn 2011/09/
Banff International Research Station (BIRS), Foundations of Stochastic Analysis (Member of the organizing committee) Banff International Research Station 2011/09/
Nonlocal Operators: Analysis, Probability, Geometry and Applications, Bielefeld (Member of the organizing committee) Bielefeld, Germany 2012/07/
Discrete Geometric Analysis (Member of the organizing committee) Kyoto University 2012/08/
Markov Chains on Graphs and Related Topics (Member of the organizing committee) Kyoto University 2013/02/
Heat Kernels, Stochastic Processes and Functional Inequalities, Oberwolfach (Member of the organizing committee) Oberwolfach Workshop, Germany 2013/05/
Recent Trends in Stochastic Analysis (Member of the organizing committee) Vancouver 2013/07/
6th International Conference on Stochastic Analysis and Its Applications (Member of the scientific committee) Poland 2011
7th International Conference on Stochastic Analysis and Its Applications (Member of the scientific committee) Seoul 2014/07/
8th International Conference on Stochastic Analysis and Its Applications (Member of the scientific committee) Beijing 2016/06/
Heat Kernels, Stochastic Processes and Functional Inequalities, Oberwolfach (Member of the organizing committee) Oberwolfach workshop, Germany 2016/11/
The 34th Conference on Stochastic Processes and their Applications Bernoulli Society, Osaka 2010/09/
Stochastic Analysis Kyoto University 2015/09/
2nd Hong Kong/Kyoto Workshop on “Fractal Geometry and Related Areas” Kyoto University 2018/05/
2018 Spring Probability Workshop Academia Sinica, Taipei 2018/06/
Gaussian Free Fields and Related Topic RIMS共同研究(公開型) 2018/09/
The Second Meeting for GlobalMathNetwork KTGU研究集会 2019/02/
Heat Kernels, Stochastic Processes and Functional Inequalities Oberwolfach Workshop 2019/11/
The 5th KTGU Mathematics Workshop for Young Researchers KTGU研究集会 2020/02/07

  • <<
  • >>
  • 表示
外部資金:競争的資金 (科学研究費補助金)
種別 代表/分担 テーマ(日本語) テーマ(英語) 期間
若手研究(B) 代表 ハルナック不等式の安定性とその確率モデルへの応用 Stability of Harnack inequalities and the applications to stochastic models 2004〜2005
基盤研究(B) 代表 複雑な系の上のマルコフ連鎖とその極限過程の研究 2010〜2012
挑戦的萌芽研究 代表 低次元臨界確率パーコレーション上のダイナミックスとそのスケール極限 2009/04/〜2011/03/
基盤研究(B) 代表 複雑な系における確率過程論と実解析学の展開 
基盤研究(B) 代表 複雑な系の上のマルコフ連鎖とその極限過程の研究 2010/04/〜2013/03/
挑戦的萌芽研究 代表 非局所偏微分方 程式におけるde Giorgi-Nash-Moser理論の構築 2012/04/〜2014/03/
基盤研究(A) 代表 複雑な系の上の確率過程―離散モデルとそのスケール極限の解析 2013/04/〜2017/03/
挑戦的萌芽研究 代表 非局所偏微分方程式におけるde Giorgi-Nash-Moser理論の構築 2012〜2013
基盤研究(A) 代表 複雑な系の上の確率過程―離散モデルとそのスケール極限の解析 2013〜2016
特別研究員奨励費 代表 非局所作用素のポテンシャル論 (平成26年度分) 2014/04/01〜2015/03/31
基盤研究(A) 代表 複雑な系の上の確率過程―離散モデルとそのスケール極限の解析 (平成26年度分) 2014/04/01〜2015/03/31
基盤研究(A) 代表 複雑な系の上の確率過程―離散モデルとそのスケール極限の解析 (平成27年度分) 2015/04/01〜2016/03/31
基盤研究(A) 代表 複雑な系の上の確率過程―離散モデルとそのスケール極限の解析 (平成27年度分) 2015/04/01〜2016/03/31
特別研究員奨励費 代表 非局所作用素のポテンシャル論 (平成27年度分) 2015/04/01〜2016/03/31
基盤研究(A) 代表 複雑な系の上の確率過程―離散モデルとそのスケール極限の解析 (平成28年度分) 2016/04/01〜2017/03/31
特別研究員奨励費 代表 非局所作用素のポテンシャル論 (平成28年度分) 2016/04/01〜2017/03/31
基盤研究(A) 代表 複雑な系の上の確率過程―離散モデルとそのスケール極限の解析 (平成28年度分) 2016/04/01〜2017/03/31
基盤研究(A) 代表 複雑な系の上の異常拡散現象の解析 (平成29年度分) 2017/04/01〜2018/03/31
基盤研究(A) 代表 複雑な系の上の確率過程―離散モデルとそのスケール極限の解析 (平成29年度分) 2017/04/01〜2018/03/31
特別研究員奨励費 代表 ランダム媒質上のダイナミックスの研究 (平成29年度分) 2017/04/01〜2018/03/31
特別研究員奨励費 代表 非局所作用素のポテンシャル論 (平成29年度分) 2017/04/01〜2018/03/31
基盤研究(A) 代表 複雑な系の上の異常拡散現象の解析 (平成30年度分) 2018/04/01〜2019/03/31
基盤研究(A) 代表 複雑な系の上の異常拡散現象の解析 (平成30年度分) 2018/04/01〜2019/03/31
特別研究員奨励費 代表 ランダム媒質上のダイナミックスの研究 (平成30年度分) 2018/04/01〜2019/03/31
基盤研究(A) 代表 複雑な系の上の異常拡散現象の解析 (2019年度分) 2019/04/01〜2020/03/31
基盤研究(A) 代表 複雑な系の上の異常拡散現象の解析 (2019年度分) 2019/04/01〜2020/03/31
特別研究員奨励費 代表 ランダム媒質上のダイナミックスの研究 (2019年度分) 2019/04/01〜2020/03/31

  • <<
  • >>
  • 表示
外部資金:競争的資金 (科学研究費補助金以外)
制度名 代表者名 研究課題(日本語) 研究課題(英語) 期間
フラクタル上の解析 Analysis on fractals
無限粒子系の解析 Analysis on infinite particle systems
その他の研究活動等
名称 場所 備考 期間
フラクタル上の拡散過程とその解析(日本数学会年会特別講演) 1992〜
フラクタル上の確率過程に関する最近の話題(日本数学会秋季総合分科会特別講演) 1999〜
フラクタル上の解析学の展開(日本数学会年会総合講演) 筑波大学 2004〜
Stochastic processes on fractals and related topics 1992〜
Recent topics of stochastic processes on fractals. 1999〜
Recent developments of analysis on fractals 2004〜
複雑な系の上の異常拡散現象の解析 関西大学 日本数学会秋季総合分科会, 企画特別講演 2016/09/15〜
複雑な空間の上の熱の伝わり方を探る 大阪科学技術センター 大阪科学賞受賞記念講演 2017/11/15〜2017/11/15
担当科目
講義名(日本語) 講義名(英語) 開講期 学部/研究科 年度
解析学I、基礎数学からの展開I、確率論講究
確率論セミナー研究A 前期 理学研究科 2011/04〜2012/03
確率論セミナー研究B 後期 理学研究科 2011/04〜2012/03
確率論セミナー研究C 前期 理学研究科 2011/04〜2012/03
確率論セミナー研究D 後期 理学研究科 2011/04〜2012/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2011/04〜2012/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2012/04〜2013/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2013/04〜2014/03
確率論 Probability Theory 前期 理学部 2014/04〜2015/03
確率論 Probability Theory 前期 理学研究科 2014/04〜2015/03
確率論セミナー研究A Seminar on Probability Theory A 前期 理学研究科 2014/04〜2015/03
確率論セミナー研究B Seminar on Probability Theory B 後期 理学研究科 2014/04〜2015/03
確率論セミナー研究C Seminar on Probability Theory C 前期 理学研究科 2014/04〜2015/03
確率論セミナー研究D Seminar on Probability Theory D 後期 理学研究科 2014/04〜2015/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2014/04〜2015/03
数学講究 Mathematics seminary 通年 理学部 2015/04〜2016/03
確率論セミナー研究A Seminar on Probability Theory A 前期 理学研究科 2015/04〜2016/03
確率論セミナー研究B Seminar on Probability Theory B 後期 理学研究科 2015/04〜2016/03
確率論セミナー研究C Seminar on Probability Theory C 前期 理学研究科 2015/04〜2016/03
確率論セミナー研究D Seminar on Probability Theory D 後期 理学研究科 2015/04〜2016/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2016/04〜2017/03
確率論セミナー研究A Seminar on Probability Theory A 前期 理学研究科 2016/04〜2017/03
確率論セミナー研究B Seminar on Probability Theory B 後期 理学研究科 2016/04〜2017/03
確率論セミナー研究C Seminar on Probability Theory C 前期 理学研究科 2016/04〜2017/03
確率論セミナー研究D Seminar on Probability Theory D 後期 理学研究科 2016/04〜2017/03
確率論セミナー研究A Seminar on Probability Theory A 前期 理学研究科 2017/04〜2018/03
確率論セミナー研究B Seminar on Probability Theory B 後期 理学研究科 2017/04〜2018/03
確率論セミナー研究C Seminar on Probability Theory C 前期 理学研究科 2017/04〜2018/03
確率論セミナー研究D Seminar on Probability Theory D 後期 理学研究科 2017/04〜2018/03
確率論 Probability Theory 前期 理学部 2018/04〜2019/03
確率論大学院講義 Graduate Lecture in Probability Theory 前期 理学研究科 2018/04〜2019/03
確率論セミナー研究a Seminar on Probability Theory a 前期 理学研究科 2018/04〜2019/03
確率論セミナー研究b Seminar on Probability Theory b 後期 理学研究科 2018/04〜2019/03
確率論セミナー研究c Seminar on Probability Theory c 前期 理学研究科 2018/04〜2019/03
確率論セミナー研究d Seminar on Probability Theory d 後期 理学研究科 2018/04〜2019/03
確率論大学院講義 Graduate Lecture in Probability Theory 前期 理学研究科 2019/04〜2020/03
確率論セミナー研究a Seminar on Probability Theory a 前期 理学研究科 2019/04〜2020/03
確率論セミナー研究b Seminar on Probability Theory b 後期 理学研究科 2019/04〜2020/03
確率論セミナー研究c Seminar on Probability Theory c 前期 理学研究科 2019/04〜2020/03
確率論セミナー研究d Seminar on Probability Theory d 後期 理学研究科 2019/04〜2020/03
確率論 Probability Theory 前期 理学部 2020/04〜2021/03
確率論大学院講義 Graduate Lecture in Probability Theory 前期 理学研究科 2020/04〜2021/03
確率論セミナー研究a Seminar on Probability Theory a 前期 理学研究科 2020/04〜2021/03
確率論セミナー研究b Seminar on Probability Theory b 後期 理学研究科 2020/04〜2021/03
確率論セミナー研究c Seminar on Probability Theory c 前期 理学研究科 2020/04〜2021/03
確率論セミナー研究d Seminar on Probability Theory d 後期 理学研究科 2020/04〜2021/03

  • <<
  • >>
  • 表示
博士学位審査
学位取得者名 学位論文タイトル 役割 年月
阿部 圭宏 Cover times and extrema of local times for random walks on graphs(グラフ上のランダムウォークの被覆時間と局所時間の極値) 2016/03/23
中島 秀太 Maximal edge-traversal time in First Passage Percolation(ファーストパッセージパーコレーションの最大辺移動時間) 2019/03/25
得重 雄毅 Random Walks on random trees and hyperbolic groups: trace processes on boundaries at infinity and the speed of biased random walks(ランダム木グラフと双曲群上のランダムウォーク: 無限遠境界上のトレース過程とバイアス付きランダムウォークのスピードについて) 2019/03/25
指導学生の受賞
受賞した学生名 賞の名称 授与組織名 年月
白石大典 日本数学会建部賢弘賞 日本数学会 2012/09/
阿部圭宏 日本数学会賞建部賢弘賞奨励賞 日本数学会 2016/09/16
全学運営(役職等)
役職名 期間
大学評価委員会 点検・評価実行委員会 委員 2012/04/01〜
点検・評価実行委員会 委員 2012/04/01〜2015/03/31
大学評価委員会点検・評価実行委員会 委員 2012/04/01〜
大学評価委員会点検・評価実行委員会 委員 2012/04/01〜2017/03/31
スーパーグローバルコース実施運営協議会 委員 2019/04/01〜2020/03/31
スーパーグローバルコース企画運営幹事会 委員 2019/04/01〜2020/03/31
数理解析研究所 所長 2020/04/01〜2022/03/31
教育研究評議会 評議員 2020/04/01〜2022/03/31
部局長会議 2020/04/01〜2022/03/31
総長選考会議 2020/04/01〜2022/03/31
全学情報セキュリティ委員会 委員 2020/04/01〜2022/03/31
研究公正委員会 委員 2020/04/01〜2022/03/31

  • <<
  • >>
  • 表示
部局運営(役職等)
役職名 期間
京都大学図書館協議会 協議員 2013/04/01〜2017/03/31
京都大学附属図書館運営委員会 委員 2013/04/01〜2015/03/31
自己点検・評価委員会 委員長 〜2017/03/31
図書委員会 委員長 〜2017/03/31
数理解析研究所 副所長 2017/04/01〜2018/03/31
予算委員会 委員長 2017/04/01〜2018/03/31
環境・安全・衛生管理委員会 2017/04/01〜2018/03/31
人権問題委員会 委員 2017/04/01〜2018/03/31
省エネルギー推進委員会 委員 2017/04/01〜2018/03/31
学会活動:学会役員歴
学会名(日本語) 学会名(英語) 役職名(日本語) 役職名(英語) 期間
日本数学会 Mathematical Society of Japan 理事 Trustee 2018/06/01〜2020/05/31
学会活動:編集委員歴
学会名(日本語) 学会名(英語) ジャーナル名(日本語) ジャーナル名(英語) 役職名 期間
IMS IMS The Annals of Probability The Annals of Probability 編集委員 2006〜2011
京都大学 Kyoto University Kyoto Journal of Mathematics Kyoto Journal of Mathematics 編集委員 2007〜
ワイリー Wiley Mathematische Nachrichten Mathematische Nachrichten 編集委員 2008〜
IMS IMS Electronic Journal of Probability Electronic Journal of Probability 編集委員 2010〜2011
シュプリンガー Springer 確率論とその周辺 Probability Theory and Related Fields 編集委員 2010〜
京都大学 Kyoto University Publications of the Research Institute for Mathematical Sciences Publications of the Research Institute for Mathematical Sciences 編集委員 2010〜
IMS IMS Electronic Communications in Probability Electronic Communications in Probability 編集委員 2010〜2011
ベルヌーイ協会 Bernoulli Society 確率過程とその応用 Stochastic Processes and their Applications 編集委員長 2012/04/〜2015/03/
ベルヌーイ協会 Bernoulli Society 確率過程とその応用 Stochastic Processes and their Applications 編集委員 2015/04/〜
日本数学会 Mathematical Society of Japan Journal of the Mathematical Society of Japan Journal of the Mathematical Society of Japan 編集委員長 2016/07/〜2020/06/30
日本数学会 Mathematical Society of Japan Japanese Journal of Mathematics Japanese Journal of Mathematics 編集委員 2018/04/01〜

  • <<
  • >>
  • 表示
学会活動:研究集会委員歴
学会名 研究集会名 役職名 期間
Bernoulli Society The 34th Conference on Stochastic Processes and their Applications Organizing committee 2010/09/〜2010/09/
7th International Conference on Stochastic Analysis and Its Applications Scientific committee 2014/07/〜2014/07/
Stochastic Analysis Organizing committee 2015/09/〜2015/09/
8th International Conference on Stochastic Analysis and Its Applications Scientific committee 2016/06/〜2016/06/
Heat Kernels, Stochastic Processes and Functional Inequalities, Oberwolfach Organizing committee 2016/11/〜2016/12/
Bernoulli Society The 39th Conference on Stochastic Processes and their Applications Scientific committee 2017/07/24〜2017/07/28
2nd Hong Kong/Kyoto Workshop on “Fractal Geometry and Related Areas” Organizing committee 2018/05/〜2018/05/
2018 Spring Probability Workshop Organizing committee 2018/06/〜2018/06/
9th International conference on stochastic analysis and its application Scientific committee 2018/09/03〜2018/09/07
日本数学会 The 12th MSJ-SI, Stochastic Analysis, Random Fields and Integrable Probability Scientific Committee 2019/07/31〜2019/08/09
その他活動:新聞・雑誌等
タイトル 内容 メディア名 掲載欄 年月日
数理科学への確率論によるアプローチ 特集:「自然界を支配する偶然の構造」の巻頭言 数理科学 5-6ページ 2016/06/
ランダム媒質とフラクタル ランダム媒質とフラクタルに関する解説 数学セミナー 26-31ページ 2017/03/
フィールズ賞で語る現代数学 21 ー確率論 確率論のフィールズ賞に関する記事 数理科学 61-67ページ 2018/02/
巻頭言 Journal of the Mathematical Society of Japanのこと(編集委員長として) 数学通信 第23巻第3号 2018/09/
海外での滞在歴
滞在機関名 部署 研究テーマ 国名 期間
TU-Berlin Department of Mathematics Random walk in random media Germany 2019/10/〜2019/12/
TU-Berlin Department of Mathematics Random walk in random media Germany 2018/10/〜2018/12/
Cornell University Department of Mathematics Stability of heat kernels on metric measure spaces USA 2003/08/〜2004/07/
University of Oxford Mathematical Institute Stochastic processes on fractals UK 2001/10/〜2001/12/
University of British Columbia Department of Mathematics Stochastic processes on fractals Canada 1998/08/〜1999/02/
University of Cambridge Statistical Laboratory Diffusions on fractals UK 1992/04/〜1992/09/
外国人滞在者受入れ
滞在者名 所属機関名 部署 研究テーマ 国名 期間
Jian Wang 福建師範大学 School of Mathematics and Computer Science 非局所作用素のポテンシャル論 中国 2016/09/01〜2017/09/02
Jian Wang 福建師範大学 School of Mathematics and Computer Scienc 非局所作用素のポテンシャル論 中国 2014/09/03〜2015/08/31
David Croydon University of Warwick Department of Statistics Stochastic processes on fractals UK 2015/07/〜2015/12/
Jean-Dominique Deuschel TU-Berlin Stochastic processes on disordered media Germany 2015/11/〜2016/01/
Pierre Mathieu Aix-Marseille university Centre de Mathematiques et d'Informatique Random walk on groups and hyperbolic spaces France 2016/04/〜2016/06/
Hao Van Can ベトナム科学技術アカデミー ランダム媒質上のダイナミックスの研究 ベトナム社会主義共和国 2017/11/27〜2019/11/26
Eleanor M. Archer University of Warwick Department of statistics Dynamical Properties of Critical Percolation Clusters on Random Maps UK 2019/07/24〜2019/12/23
外国人訪問者受入れ
訪問者名 所属機関名 国名 期間
Amir Dembo Stanford University USA 2016/10/24〜2016/11/23
Balint Toth ブリストル大学、ブタペスト大学 UK、ハンガリー 2016/03/27〜2016/04/02
Wendelin Werner ETH スイス 2016/03/29〜2016/04/05
Zhenqing Chen ワシントン大学 USA 2016/09/12〜2016/09/22
Martin Slowik TU-Berlin ドイツ 2016/09/20〜2016/10/01
Martin T. Barlow University of British Columbia Canada 2016/10/13〜2016/10/31
Guayn-Yu Chen 台湾National Chiao Tung University 台湾 2017/07/03〜2017/07/07
Anton Bovier University of Bonn ドイツ 2018/04/20〜2018/05/19
Panki Kim Seoul National University 韓国 2016/12/21〜2017/01/20
Fengyu Wang 天津大学 中国 2017/04/02〜2017/04/08
Xin Chen 上海交通大学 中国 2017/04/16〜2017/04/22
Stefano Olla Universite Paris Dauphine France 2017/01/13〜2013/01/18
Panki Kim Seoul National University 韓国 2018/01/24〜2018/01/30
Hugo Duminil-Copin IHES France 2017/07/07〜2017/07/16
Laurent Saloff-Coste Cornell University USA 2016/10/23〜2016/11/05
Zhenqing Chen ワシントン大学 USA 2017/07/30〜3017/08/06
David Croydon University of Warwick UK 2017/11/13〜2017/11/16
David Croydon University of Warwick UK 2017/02/15〜2017/03/10
Pierre Mathieu マルセイユ大学 フランス 2017/11/05〜2017/12/02
Jian Wang 福建師範大学 中国 2018/03/19〜2018/03/29
Xin Chen 上海交通大学 中国 2018/03/20〜2018/03/25
Martin T. Barlow University of British Columbia Canada 2018/02/17〜2018/02/25
Paul Jung KAIST Korea 2018/05/18〜2018/05/26
Laurent Saloff-Coste Cornell University USA 2018/06/10〜2018/06/17
Jean-Francois Le Gall ENS France 2018/06/17〜2018/06/24
Nathanaël Berestycki University of Vienna Austria 2018/09/〜2018/09/
Oren Louidor Technion - Israel Institute of Technology Isreal 2018/09/〜2018/09/
Jason P. Miller University of Cambridge UK 2018/09/〜2018/09/
Scott Sheffield Massachusetts Institute of Technology USA 2018/09/〜2018/09/
Hao Wu Tsinghua University China 2018/09/〜2018/09/
Pierre Mathieu マルセイユ大 フランス 2019/01/09〜2019/01/20
Jiaxin Hu Tsinghua University China 2019/01/21〜2019/02/19
Guan-Yu Chen 台湾National Chiao Tung University 台湾 2019/01/27〜2019/02/01
Chuck Newman ニューヨーク大学 USA 2019/02/13〜2019/02/17
Gerard BenArous ニューヨーク大学 USA 2019/02/14〜2019/02/18
Remco van der Hofstad Eurandom オランダ 2019/02/〜2019/02/
Pierre Tarres NYU-shanghai China 2019/02/21〜2019/02/24
Zhenqing Chen ワシントン大学 USA 2019/03/20〜2019/04/19
Zhan Shi Université Paris VI France 2019/03/21〜2019/03/28
Martin T. Barlow University of British Columbia Canada 2019/03/26〜2019/04/03
Gordon Slade University of British Columbia Canada 2019/03/29〜2019/04/27
Jian Wang 福建師範大学 中国 2019/04/06〜2019/04/16
Xin Chen 上海交通大学 中国 2019/04/06〜2019/04/16
Mathav Murugan University of British Columbia University of British Columbia 2019/04/〜2019/05/
Dima Ioffe Technion Isreal 2019/04/21〜2019/05/23
Omer Angel University of British Columbia Canada 2019/05/09〜2019/05/17
Yves Le Jan Université Paris-Sud France 2019/05/15〜2019/05/18
Xinyi Li University of Chicago USA 2019/07/19〜2019/07/30
Frank den Hollander Leiden オランダ 2019/07/24〜2019/07/30
Pierre-Francois Rodriguez IHES France 2019/07/25〜2019/07/30

  • <<
  • >>
  • 表示