CROYDON davidalexander

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氏名(漢字/フリガナ/アルファベット表記)
CROYDON David/クロイドン デイビッド/Croydon, David
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/准教授
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
Ph.d. Mathematics University of Oxford
個人ホームページ
URL
http://www.kurims.kyoto-u.ac.jp/~croydon/
researchmap URL
https://researchmap.jp/7000013558
研究テーマ
(英語)
Probability theory
研究概要
(英語)
David Croydon works in probability theory, with his main research interest being in diffusions on random fractals and how such processes can be constructed as scaling limits of related random walks on random graphs. He also has a growing interest in the behaviour of discrete integrable systems started from random initial conditions.
研究分野(キーワード)
キーワード(日本語) キーワード(英語)
random walk
fractals
random graphs
discrete integrable systems
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
David Croydon, Mark Holmes David Croydon, Mark Holmes David Croydon, Mark Holmes Biased Random Walk on the Trace of Biased Random Walk on the Trace of … Biased Random Walk on the Trace of Biased Random Walk on the Trace of … Biased Random Walk on the Trace of Biased Random Walk on the Trace of … Communications in Mathematical Physics, 375, 2, 1341-1372 Communications in Mathematical Physics, 375, 2, 1341-1372 Communications in Mathematical Physics, 375, 2, 1341-1372 2020/04 研究論文(学術雑誌) 公開
Omer Angel, David A. Croydon, Sarai Hernandez-Torres, Daisuke Shiraishi Omer Angel, David A. Croydon, Sarai Hernandez-Torres, Daisuke Shiraishi Omer Angel, David A. Croydon, Sarai Hernandez-Torres, Daisuke Shiraishi Scaling limits of the three-dimensional uniform spanning tree and associated random walk Scaling limits of the three-dimensional uniform spanning tree and associated random walk Scaling limits of the three-dimensional uniform spanning tree and associated random walk 2020/03/20 公開
David A. Croydon David A. Croydon David A. Croydon The random conductance model with heavy tails on nested fractal graphs The random conductance model with heavy tails on nested fractal graphs The random conductance model with heavy tails on nested fractal graphs 2020/03/15 公開
David A. Croydon, Makiko Sasada David A. Croydon, Makiko Sasada David A. Croydon, Makiko Sasada Generalized hydrodynamic limit for the box-ball system Generalized hydrodynamic limit for the box-ball system Generalized hydrodynamic limit for the box-ball system 2020/03/14 公開
Omer Angel, David A. Croydon, Sarai Hernandez-Torres, Daisuke Shiraishi Omer Angel, David A. Croydon, Sarai Hernandez-Torres, Daisuke Shiraishi Omer Angel, David A. Croydon, Sarai Hernandez-Torres, Daisuke Shiraishi The number of spanning clusters of the uniform spanning tree in three dimensions The number of spanning clusters of the uniform spanning tree in three dimensions The number of spanning clusters of the uniform spanning tree in three dimensions 2020/03/10 公開
David A. Croydon, Makiko Sasada David A. Croydon, Makiko Sasada David A. Croydon, Makiko Sasada Discrete integrable systems and Pitman's transformation Discrete integrable systems and Pitman's transformation Discrete integrable systems and Pitman's transformation Proceeding of "The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) Stochastic Analysis, Random Fields and Integrable Probability." Proceeding of "The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) Stochastic Analysis, Random Fields and Integrable Probability." Proceeding of "The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) Stochastic Analysis, Random Fields and Integrable Probability." 2020 研究論文(国際会議プロシーディングス) 公開
David A. Croydon, Makiko Sasada, Satoshi Tsujimoto David A. Croydon, Makiko Sasada, Satoshi Tsujimoto David A. Croydon, Makiko Sasada, Satoshi Tsujimoto Dynamics of the ultra-discrete Toda lattice via Pitman's transformation Dynamics of the ultra-discrete Toda lattice via Pitman's transformation Dynamics of the ultra-discrete Toda lattice via Pitman's transformation 数理解析研究所講究録 別冊 数理解析研究所講究録 別冊 RIMS Kôkyûroku Bessatsu 2020 公開
David A. Croydon, Makiko Sasada David A. Croydon, Makiko Sasada David A. Croydon, Makiko Sasada Duality between box-ball systems of finite box and/or carrier capacity Duality between box-ball systems of finite box and/or carrier capacity Duality between box-ball systems of finite box and/or carrier capacity 数理解析研究所講究録別冊 数理解析研究所講究録別冊 RIMS Kôkyûroku Bessatsu 2020 公開
David Croydon, Makiko Sasada David Croydon, Makiko Sasada Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures Journal of Mathematical Physics, 60, 083301 Journal of Mathematical Physics, 60, 083301 Journal of Mathematical Physics, 60, 083301 2019 公開
CROYDON, David CROYDON, David David Croydon An introduction to the trapping experienced by biased random walk on the trace of biased random walk An introduction to the trapping experienced by biased random walk on the trace of biased random walk An introduction to the trapping experienced by biased random walk on the trace of biased random walk RIMS Kokyuroku, 2116, 203-212 RIMS Kokyuroku, 2116, 203-212 RIMS Kokyuroku, 2116, 203-212 2019 英語 公開
David A. Croydon, Tsuyoshi Kato, Makiko Sasada, Satoshi Tsujimoto David A. Croydon, Tsuyoshi Kato, Makiko Sasada, Satoshi Tsujimoto David A. Croydon, Tsuyoshi Kato, Makiko Sasada, Satoshi Tsujimoto Dynamics of the box-ball system with random initial conditions via Pitman's transformation Dynamics of the box-ball system with random initial conditions via Pitman's transformation Dynamics of the box-ball system with random initial conditions via Pitman's transformation 2018/06/06 研究論文(学術雑誌) 公開
D. A. Croydon D. A. Croydon D. A. Croydon Scaling limits of stochastic processes associated with resistance forms Scaling limits of stochastic processes associated with resistance forms Scaling limits of stochastic processes associated with resistance forms Ann. Inst. H. Poincare Probab. Statist., 54, 4, 1939-1968 Ann. Inst. H. Poincare Probab. Statist., 54, 4, 1939-1968 Ann. Inst. H. Poincare Probab. Statist., 54, 4, 1939-1968 2018 英語 研究論文(学術雑誌) 公開
Philippe H. A. Charmoy, David A. Croydon, Ben M. Hambly Philippe H. A. Charmoy, David A. Croydon, Ben M. Hambly Philippe H. A. Charmoy, David A. Croydon, Ben M. Hambly CENTRAL LIMIT THEOREMS FOR THE SPECTRA OF CLASSES OF RANDOM FRACTALS CENTRAL LIMIT THEOREMS FOR THE SPECTRA OF CLASSES OF RANDOM FRACTALS CENTRAL LIMIT THEOREMS FOR THE SPECTRA OF CLASSES OF RANDOM FRACTALS TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369, 12, 8967-9013 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369, 12, 8967-9013 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369, 12, 8967-9013 2017/12 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 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. Appl. Stoch. Proc. Appl. Stoch. Proc. Appl. 2017/11 研究論文(学術雑誌) 公開
David A. Croydon, Stephen Muirhead David A. Croydon, Stephen Muirhead David A. Croydon, Stephen Muirhead Quenched localisation in the Bouchaud trap model with slowly varying traps Quenched localisation in the Bouchaud trap model with slowly varying traps Quenched localisation in the Bouchaud trap model with slowly varying traps PROBABILITY THEORY AND RELATED FIELDS, 168, 1-2, 269-315 PROBABILITY THEORY AND RELATED FIELDS, 168, 1-2, 269-315 PROBABILITY THEORY AND RELATED FIELDS, 168, 1-2, 269-315 2017/06 英語 研究論文(学術雑誌) 公開
David A. Croydon David A. Croydon David A. Croydon An introduction to stochastic processes associated with resistance forms and their scaling limits An introduction to stochastic processes associated with resistance forms and their scaling limits An introduction to stochastic processes associated with resistance forms and their scaling limits RIMS Kokyuroku, 2030, 1-8 RIMS Kokyuroku, 2030, 1-8 RIMS Kokyuroku, 2030, 1-8 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
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
David Croydon, Stephen Muirhead David Croydon, Stephen Muirhead David Croydon, Stephen Muirhead Quenched localisation in the Bouchaud trap model with regularly varying traps Quenched localisation in the Bouchaud trap model with regularly varying traps Quenched localisation in the Bouchaud trap model with regularly varying traps RIMS Kokyuroku Bessatsu, B59, 305-320 RIMS Kokyuroku Bessatsu, B59, 305-320 RIMS Kokyuroku Bessatsu, B59, 305-320 2016 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
David Croydon, Stephen Muirhead David Croydon, Stephen Muirhead David Croydon, Stephen Muirhead Functional limit theorems for the Bouchaud trap model with slowly varying traps Functional limit theorems for the Bouchaud trap model with slowly varying traps Functional limit theorems for the Bouchaud trap model with slowly varying traps STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 125, 5, 1980-2009 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 125, 5, 1980-2009 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 125, 5, 1980-2009 2015/05 英語 研究論文(学術雑誌) 公開
David A. Croydon David A. Croydon David A. Croydon Moduli of continuity of local times of random walks on graphs in terms of the resistance metric Moduli of continuity of local times of random walks on graphs in terms of the resistance metric Moduli of continuity of local times of random walks on graphs in terms of the resistance metric Trans. Lond. Math. Soc., 2, 1, 57-79 Trans. Lond. Math. Soc., 2, 1, 57-79 Trans. Lond. Math. Soc., 2, 1, 57-79 2015 英語 研究論文(学術雑誌) 公開
David A. Croydon David A. Croydon David A. Croydon Slow movement of a random walk on the range of a random walk in the presence of an external field Slow movement of a random walk on the range of a random walk in the presence of an external field Slow movement of a random walk on the range of a random walk in the presence of an external field PROBABILITY THEORY AND RELATED FIELDS, 157, 3-4, 515-534 PROBABILITY THEORY AND RELATED FIELDS, 157, 3-4, 515-534 PROBABILITY THEORY AND RELATED FIELDS, 157, 3-4, 515-534 2013/12 英語 研究論文(学術雑誌) 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
David A. Croydon David A. Croydon David A. Croydon Scaling Limit for the Random Walk on the Largest Connected Component of the Critical Random Graph Scaling Limit for the Random Walk on the Largest Connected Component of the Critical Random Graph Scaling Limit for the Random Walk on the Largest Connected Component of the Critical Random Graph PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 48, 2, 279-338 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 48, 2, 279-338 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 48, 2, 279-338 2012/06 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
David Croydon, Ben Hambly David Croydon, Ben Hambly David Croydon, Ben Hambly Spectral asymptotics for stable trees Spectral asymptotics for stable trees Spectral asymptotics for stable trees ELECTRONIC JOURNAL OF PROBABILITY, 15, 2, 1772-1801 ELECTRONIC JOURNAL OF PROBABILITY, 15, 2, 1772-1801 ELECTRONIC JOURNAL OF PROBABILITY, 15, 2, 1772-1801 2010/11 英語 研究論文(学術雑誌) 公開
D. A. Croydon D. A. Croydon D. A. Croydon SCALING LIMITS FOR SIMPLE RANDOM WALKS ON RANDOM ORDERED GRAPH TREES SCALING LIMITS FOR SIMPLE RANDOM WALKS ON RANDOM ORDERED GRAPH TREES SCALING LIMITS FOR SIMPLE RANDOM WALKS ON RANDOM ORDERED GRAPH TREES ADVANCES IN APPLIED PROBABILITY, 42, 2, 528-558 ADVANCES IN APPLIED PROBABILITY, 42, 2, 528-558 ADVANCES IN APPLIED PROBABILITY, 42, 2, 528-558 2010/06 英語 研究論文(学術雑誌) 公開
David A. Croydon David A. Croydon David A. Croydon Random Walk on the Range of Random Walk Random Walk on the Range of Random Walk Random Walk on the Range of Random Walk JOURNAL OF STATISTICAL PHYSICS, 136, 2, 349-372 JOURNAL OF STATISTICAL PHYSICS, 136, 2, 349-372 JOURNAL OF STATISTICAL PHYSICS, 136, 2, 349-372 2009/07 英語 研究論文(学術雑誌) 公開
David A. Croydon David A. Croydon David A. Croydon HAUSDORFF MEASURE OF ARCS AND BROWNIAN MOTION ON BROWNIAN SPATIAL TREES HAUSDORFF MEASURE OF ARCS AND BROWNIAN MOTION ON BROWNIAN SPATIAL TREES HAUSDORFF MEASURE OF ARCS AND BROWNIAN MOTION ON BROWNIAN SPATIAL TREES ANNALS OF PROBABILITY, 37, 3, 946-978 ANNALS OF PROBABILITY, 37, 3, 946-978 ANNALS OF PROBABILITY, 37, 3, 946-978 2009/05 英語 研究論文(学術雑誌) 公開
David Croydon David Croydon David Croydon Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 44, 6, 987-1019 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 44, 6, 987-1019 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 44, 6, 987-1019 2008/12 英語 研究論文(学術雑誌) 公開
D. A. Croydon, B. M. Hambly D. A. Croydon, B. M. Hambly D. A. Croydon, B. M. Hambly Local Limit Theorems for Sequences of Simple Random Walks on Graphs Local Limit Theorems for Sequences of Simple Random Walks on Graphs Local Limit Theorems for Sequences of Simple Random Walks on Graphs POTENTIAL ANALYSIS, 29, 4, 351-389 POTENTIAL ANALYSIS, 29, 4, 351-389 POTENTIAL ANALYSIS, 29, 4, 351-389 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
David Croydon, Ben Hambly David Croydon, Ben Hambly David Croydon, Ben Hambly Self-similarity and spectral asymptotics for the continuum random tree Self-similarity and spectral asymptotics for the continuum random tree Self-similarity and spectral asymptotics for the continuum random tree STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 118, 5, 730-754 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 118, 5, 730-754 STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 118, 5, 730-754 2008/05 英語 研究論文(学術雑誌) 公開
David A. Croydon David A. Croydon David A. Croydon Volume growth and heat kernel estimates for the continuum random tree Volume growth and heat kernel estimates for the continuum random tree Volume growth and heat kernel estimates for the continuum random tree PROBABILITY THEORY AND RELATED FIELDS, 140, 1-2, 207-238 PROBABILITY THEORY AND RELATED FIELDS, 140, 1-2, 207-238 PROBABILITY THEORY AND RELATED FIELDS, 140, 1-2, 207-238 2008/01 英語 研究論文(学術雑誌) 公開
D. A. Croydon D. A. Croydon D. A. Croydon The Hausdorff dimension of a class of random self-similar fractal trees The Hausdorff dimension of a class of random self-similar fractal trees The Hausdorff dimension of a class of random self-similar fractal trees ADVANCES IN APPLIED PROBABILITY, 39, 3, 708-730 ADVANCES IN APPLIED PROBABILITY, 39, 3, 708-730 ADVANCES IN APPLIED PROBABILITY, 39, 3, 708-730 2007/09 英語 研究論文(学術雑誌) 公開
D. A. Croydon D. A. Croydon D. A. Croydon Heat kernel fluctuations for a resistance form with non-uniform volume growth Heat kernel fluctuations for a resistance form with non-uniform volume growth Heat kernel fluctuations for a resistance form with non-uniform volume growth PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 94, 672-694 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 94, 672-694 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 94, 672-694 2007/05 英語 研究論文(学術雑誌) 公開

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タイトル言語:
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
研究活動スタート支援 代表 Random walks on random graphs in critical regimes (平成30年度分) 2018/04/01〜2019/03/31
Grant-in-Aid for Scientific Research (C) 代表 Stochastic processes associated with resistance forms 2019/04/01〜2023/03/31
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
Grant-in-Aid for Scientific Research (B) Satoshi Tsujimoto Analysis of ultra-discrete systems based on Pitman’s transformation by probability theory 2019/04/01〜2024/03/31
Grant-in-Aid for Scientific Research (A) Takashi Kumagai Anomalous diffusions on disordered media 2017/04/01〜2022/03/31
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
Function Theory of a Complex Variable-E2 Function Theory of a Complex Variable-E2 前期 全学共通科目 2019/04〜2020/03
ILAS Seminar-E2 ILAS Seminar-E2 前期 全学共通科目 2019/04〜2020/03
Mathematical Statistics-E2 Mathematical Statistics-E2 前期 全学共通科目 2019/04〜2020/03
Mathematical Statistics-E2 Mathematical Statistics-E2 後期 全学共通科目 2019/04〜2020/03
Quest for Mathematics I-E2 Quest for Mathematics I-E2 前期 全学共通科目 2019/04〜2020/03
Second Course in Statistics-E2 Second Course in Statistics-E2 後期 全学共通科目 2019/04〜2020/03
応用解析学セミナーI Seminar on Applied Analysis 1 通年 情報学研究科 2019/04〜2020/03
応用解析学特論I Topics in Applied Analysis I 後期集中 情報学研究科 2019/04〜2020/03
非線型解析特論A Topics in Nonlinear Analysis A 後期 情報学研究科 2019/04〜2020/03
ILAS Seminar-E2:Introduction to Probability(確率入門) ILAS Seminar-E2 :Introduction to Probability 前期 全学共通科目 2020/04〜2021/03
Mathematical Statistics-E2 Mathematical Statistics-E2 前期 全学共通科目 2020/04〜2021/03
Mathematical Statistics-E2 Mathematical Statistics-E2 後期 全学共通科目 2020/04〜2021/03
Second Course in Statistics-E2 Second Course in Statistics-E2 後期 全学共通科目 2020/04〜2021/03
応用解析学特論I Topics in Applied Analysis I 後期集中 情報学研究科 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

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