梶野 直孝

最終更新日時: 2021/06/21 20:32:09

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氏名(漢字/フリガナ/アルファベット表記)
梶野 直孝/カジノ ナオタカ/Kajino, Naotaka
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
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 応用数理講座 准教授
電子メールアドレス
メールアドレス
nkajino @ kurims.kyoto-u.ac.jp
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
修士(情報学) 京都大学
博士(情報学) 京都大学
プロフィール
(日本語)
確率論,特にフラクタル上のラプラシアンや対応する拡散過程に対する解析学の研究を行っている.大学院生の方々には,既存の理論に興味を持ち学習することは当然のこととして,それ以上に未知の現象に対する興味とそれを解明しようとする意欲を忘れずに研究活動に邁進していただきたい.
(英語)
My research field is probability theory, in particular analysis of Laplacians and their associated diffusion processes on fractals. I expect my graduate students, not only just to learn existing theories and results of their interest, but also and more preferably to be eager to discover and understand new phenomena outside of the scope of existent studies.
使用言語
言語名(japanese) 言語名(english) コード
日本語 Japanese jpn
英語 English eng
個人ホームページ
URL
https://www.kurims.kyoto-u.ac.jp/~nkajino/
ORCID ID
https://orcid.org/0000-0002-0284-4608
researchmap URL
https://researchmap.jp/7000005709
研究テーマ
(日本語)
確率論,フラクタル上のラプラシアンおよび対応する拡散過程に対する解析学
(英語)
probability theory, analysis of Laplacians and their associated diffusion processes on fractals
研究概要
(日本語)
研究分野は確率論で,フラクタル上のラプラシアンおよび対応する拡散過程に対する解析,特にフラクタルの幾何的性質がラプラシアンの解析的性質にどのように反映されるかに興味がある.考えるフラクタルの範疇としては古典的なユークリッド自己相似フラクタル,Klein群の極限集合や複素力学系のJulia集合などの複素関数論において自然に現れる自己等角フラクタルの他,重要な2次元ランダム幾何であるLiouville量子重力をはじめとする,Schramm-Loewner発展との関連で現れる種々のランダムフラクタルなどがある.
(英語)
I am working on probability theory, with the principal research interest in analysis of Laplacians and their associated diffusion processes on fractals, especially how analytic properties of Laplacians reflect the geometry of the fractals. The classes of fractals include the classical Euclidean self-similar fractals, self-conformal fractals appearing naturally in complex function theory such as the limit sets of Kleinian groups and the Julia sets of complex dynamical systems, and various random fractals appearing in the context of Schramm-Loewner evolution, in particular the important two-dimensional random geometry known as the Liouville quantum gravity.
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
フラクタルのスペクトル幾何 spectral geometry of fractals
ポテンシャル論 potential theory
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
Naotaka Kajino, Mathav Murugan Naotaka Kajino, Mathav Murugan Naotaka Kajino, Mathav Murugan On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates The Annals of Probability, 48, 6, 2920-2951 The Annals of Probability, 48, 6, 2920-2951 The Annals of Probability, 48, 6, 2920-2951 2020/11/01 英語 研究論文(学術雑誌) 公開
梶野 直孝 梶野 直孝 Naotaka KAJINO Equivalence of recurrence and Liouville property for symmetric Dirichlet forms Equivalence of recurrence and Liouville property for symmetric Dirichlet forms Equivalence of recurrence and Liouville property for symmetric Dirichlet forms Mathematical Physics and Computer Simulation, 20, 3, 89-98 Mathematical Physics and Computer Simulation, 20, 3, 89-98 Mathematical Physics and Computer Simulation, 20, 3, 89-98 2017/09 英語 研究論文(学術雑誌) 公開
Alexander Grigor'yan, Naotaka Kajino Alexander Grigor'yan, Naotaka Kajino Alexander Grigor'yan, Naotaka Kajino LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369, 2, 1025-1060 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369, 2, 1025-1060 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369, 2, 1025-1060 2017/02 英語 研究論文(学術雑誌) 公開
Sebastian Andres, Naotaka Kajino Sebastian Andres, Naotaka Kajino Sebastian Andres, Naotaka Kajino Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions PROBABILITY THEORY AND RELATED FIELDS, 166, 3-4, 713-752 PROBABILITY THEORY AND RELATED FIELDS, 166, 3-4, 713-752 PROBABILITY THEORY AND RELATED FIELDS, 166, 3-4, 713-752 2016/12 英語 研究論文(学術雑誌) 公開
Naotaka Kajino Naotaka Kajino Naotaka Kajino Log-Periodic Asymptotic Expansion of the Spectral Partition Function for Self-Similar Sets Log-Periodic Asymptotic Expansion of the Spectral Partition Function for Self-Similar Sets Log-Periodic Asymptotic Expansion of the Spectral Partition Function for Self-Similar Sets COMMUNICATIONS IN MATHEMATICAL PHYSICS, 328, 3, 1341-1370 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 328, 3, 1341-1370 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 328, 3, 1341-1370 2014/06 英語 研究論文(学術雑誌) 公開
梶野 直孝 梶野 直孝 KAJINO Naotaka Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics, Contemporary Mathematics, 601, 165-194 Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics, Contemporary Mathematics, 601, 165-194 Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics, Contemporary Mathematics, 601, 165-194 2013/11 英語 研究論文(国際会議プロシーディングス) 公開
梶野 直孝 梶野 直孝 N.~Kajino Analysis and geometry of the measurable Riemannian structure on the Sierpi\'{n}ski gasket Analysis and geometry of the measurable Riemannian structure on the Sierpi\'{n}ski gasket Analysis and geometry of the measurable Riemannian structure on the Sierpi\'{n}ski gasket Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I: Fractals in Pure Mathematics, Contemporary Mathematics, 600, 91-133 Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I: Fractals in Pure Mathematics, Contemporary Mathematics, 600, 91-133 Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I: Fractals in Pure Mathematics, Contemporary Mathematics, 600, 91-133 2013/11 英語 研究論文(国際会議プロシーディングス) 公開
Naotaka Kajino Naotaka Kajino Naotaka Kajino On-diagonal oscillation of the heat kernels on post-critically finite self-similar fractals On-diagonal oscillation of the heat kernels on post-critically finite self-similar fractals On-diagonal oscillation of the heat kernels on post-critically finite self-similar fractals PROBABILITY THEORY AND RELATED FIELDS, 156, 1-2, 51-74 PROBABILITY THEORY AND RELATED FIELDS, 156, 1-2, 51-74 PROBABILITY THEORY AND RELATED FIELDS, 156, 1-2, 51-74 2013/06 英語 研究論文(学術雑誌) 公開
Naotaka Kajino Naotaka Kajino Naotaka Kajino Time changes of local Dirichlet spaces by energy measures of harmonic functions Time changes of local Dirichlet spaces by energy measures of harmonic functions Time changes of local Dirichlet spaces by energy measures of harmonic functions FORUM MATHEMATICUM, 24, 2, 339-363 FORUM MATHEMATICUM, 24, 2, 339-363 FORUM MATHEMATICUM, 24, 2, 339-363 2012/03 英語 研究論文(学術雑誌) 公開
Naotaka Kajino Naotaka Kajino Naotaka Kajino Heat Kernel Asymptotics for the Measurable Riemannian Structure on the Sierpinski Gasket Heat Kernel Asymptotics for the Measurable Riemannian Structure on the Sierpinski Gasket Heat Kernel Asymptotics for the Measurable Riemannian Structure on the Sierpinski Gasket POTENTIAL ANALYSIS, 36, 1, 67-115 POTENTIAL ANALYSIS, 36, 1, 67-115 POTENTIAL ANALYSIS, 36, 1, 67-115 2012/01 英語 研究論文(学術雑誌) 公開
Naotaka Kajino Naotaka Kajino Naotaka Kajino Remarks on non-diagonality conditions for Sierpinski carpets Remarks on non-diagonality conditions for Sierpinski carpets Remarks on non-diagonality conditions for Sierpinski carpets Probabilistic Approach to Geometry, Advanced Studies in Pure Mathematics, 57, 231-241 Probabilistic Approach to Geometry, Advanced Studies in Pure Mathematics, 57, 231-241 Probabilistic Approach to Geometry, Advanced Studies in Pure Mathematics, 57, 231-241 2010/03 英語 研究論文(国際会議プロシーディングス) 公開
Naotaka Kajino Naotaka Kajino Naotaka Kajino Spectral asymptotics for Laplacians on self-similar sets Spectral asymptotics for Laplacians on self-similar sets Spectral asymptotics for Laplacians on self-similar sets JOURNAL OF FUNCTIONAL ANALYSIS, 258, 4, 1310-1360 JOURNAL OF FUNCTIONAL ANALYSIS, 258, 4, 1310-1360 JOURNAL OF FUNCTIONAL ANALYSIS, 258, 4, 1310-1360 2010/02 英語 研究論文(学術雑誌) 公開

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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
Naotaka Kajino Naotaka Kajino Energy measures for diffusions on fractals: a survey Energy measures for diffusions on fractals: a survey Energy measures for diffusions on fractals: a survey Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs, 119-142 , 119-142 Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs, 119-142 2021/01/18 英語 記事・総説・解説・論説等(国際会議プロシーディングス) 公開
梶野 直孝 梶野 直孝 Naotaka Kajino フラクタルの無限/有限分岐性 フラクタルの無限/有限分岐性 フラクタルの無限/有限分岐性 数学セミナー, 2020, 3, 45-45 数学セミナー, 2020, 3, 45-45 数学セミナー, 2020, 3, 45-45 2020/02 日本語 記事・総説・解説・論説等(その他) 公開
梶野 直孝 梶野 直孝 Naotaka KAJINO 熊谷隆氏のHumboldt 賞受賞によせて 熊谷隆氏のHumboldt 賞受賞によせて 熊谷隆氏のHumboldt 賞受賞によせて 数学通信, 23, 1, 16-21 数学通信, 23, 1, 16-21 数学通信, 23, 1, 16-21 2018/05 日本語 記事・総説・解説・論説等(その他) 公開
梶野 直孝 梶野 直孝 KAJINO Naotaka フラクタル上の解析学 フラクタル上の解析学 Analysis on fractals 数学セミナー, 2017, 3, 19-25 数学セミナー, 2017, 3, 19-25 , 2017, 3, 19-25 2017/02 日本語 記事・総説・解説・論説等(その他) 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) 発表年月日 記述言語 会議種別 公開
An elementary proof of walk dimension being greater than two for Brownian motion on Sierpi\'{n}ski carpets An elementary proof of walk dimension being greater than two for Brownian motion on Sierpi\'{n}ski carpets An elementary proof of walk dimension being greater than two for Brownian motion on Sierpi\'{n}ski carpets 2021年度日本数学会年会・統計数学分科会(オンライン (Zoom)) 2021年度日本数学会年会・統計数学分科会(オンライン (Zoom)) 2021/03/15 日本語 口頭発表(一般) 公開
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [招待あり] Topology and Dynamics Seminar at the University of Birmingham (online (zoom)) Topology and Dynamics Seminar at the University of Birmingham (online (zoom)) 2021/02/18 英語 口頭発表(招待・特別) 公開
A bridge between elliptic and parabolic Harnack inequalities A bridge between elliptic and parabolic Harnack inequalities A bridge between elliptic and parabolic Harnack inequalities RIMS共同研究(公開型)「2020年度確率論シンポジウム」(オンライン (Zoom)) RIMS共同研究(公開型)「2020年度確率論シンポジウム」(オンライン (Zoom)) 2020/12/24 日本語 口頭発表(一般) 公開
Sub-Gaussian heat kernel bounds imply singularity of energy measures Sub-Gaussian heat kernel bounds imply singularity of energy measures Sub-Gaussian heat kernel bounds imply singularity of energy measures International Conference: ``Bernoulli-IMS One World Symposium 2020'' International Conference: ``Bernoulli-IMS One World Symposium 2020'' 2020/08/27 英語 口頭発表(一般) 公開
フラクタル上のラプラシアンに対する解析学[招待あり] フラクタル上のラプラシアンに対する解析学 [招待あり] 名古屋大学多元数理科学研究科談話会(オンライン (Zoom)) 名古屋大学多元数理科学研究科談話会(オンライン (Zoom)) 2020/05/25 日本語 口頭発表(招待・特別) 公開
Tail probability estimates for the collision number of recurrent random walks with on-diagonal heat kernel upper bounds Tail probability estimates for the collision number of recurrent random walks with on-diagonal heat kernel upper bounds Tail probability estimates for the collision number of recurrent random walks with on-diagonal heat kernel upper bounds 研究集会「無限粒子系、確率場の諸問題XV」 研究集会「無限粒子系、確率場の諸問題XV」 2020/01/25 日本語 口頭発表(一般) 公開
Sub-Gaussian heat kernel bounds imply singularity of energy measures Sub-Gaussian heat kernel bounds imply singularity of energy measures Sub-Gaussian heat kernel bounds imply singularity of energy measures 2019年度確率論シンポジウム 2019年度確率論シンポジウム 2019/12/19 日本語 口頭発表(一般) 公開
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [招待あり] 第62回函数論シンポジウム 第62回函数論シンポジウム 2019/11/03 日本語 口頭発表(招待・特別) 公開
Sub-Gaussian heat kernel bounds imply singularity of energy measures[招待あり] Sub-Gaussian heat kernel bounds imply singularity of energy measures [招待あり] Sub-Gaussian heat kernel bounds imply singularity of energy measures [招待あり] International Conference on Analysis and PDEs on Manifolds and Fractals International Conference on Analysis and PDEs on Manifolds and Fractals International Conference on Analysis and PDEs on Manifolds and Fractals 2019/09/26 英語 口頭発表(招待・特別) 公開
フラクタル上のラプラシアンに対する解析学[招待あり] フラクタル上のラプラシアンに対する解析学 [招待あり] Analysis of Laplacians on fractals [招待あり] 第9回岐阜数理科学研究会 第9回岐阜数理科学研究会 2019/09/10 日本語 口頭発表(招待・特別) 公開
Sub-Gaussian heat kernel bounds imply singularity of energy measures[招待あり] Sub-Gaussian heat kernel bounds imply singularity of energy measures [招待あり] Sub-Gaussian heat kernel bounds imply singularity of energy measures [招待あり] International Conference: Japanese-German Open Conference on Stochastic Analysis 2019 International Conference: Japanese-German Open Conference on Stochastic Analysis 2019 International Conference: Japanese-German Open Conference on Stochastic Analysis 2019 2019/09/06 英語 口頭発表(招待・特別) 公開
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [招待あり] ランダム力学系理論とフラクタル幾何学の研究 ランダム力学系理論とフラクタル幾何学の研究 International Workshop: Research on the Theory of Random Dynamical Systems and Fractal Geometry 2019/08/31 英語 口頭発表(招待・特別) 公開
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [招待あり] 第12回日本数学会季期研究所 (the 12th MSJ-SI) 確率解析,確率場と可積分確率 第12回日本数学会季期研究所 (the 12th MSJ-SI) 確率解析,確率場と可積分確率 International Conference: The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI): Stochastic Analysis, Random Fields and Integrable Probability 2019/08/09 英語 口頭発表(招待・特別) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues 2019 年度日本数学会年会・幾何学分科会 2019 年度日本数学会年会・幾何学分科会 2019 年度日本数学会年会・幾何学分科会 2019/03 日本語 口頭発表(一般) 公開
The Laplacian and Weyl's eigenvalue asymptotics on round Sierpiński carpets realized as the limit sets of certain Kleinian groups[招待あり] The Laplacian and Weyl's eigenvalue asymptotics on round Sierpiński carpets realized as the limit sets of certain Kleinian groups [招待あり] The Laplacian and Weyl's eigenvalue asymptotics on round Sierpiński carpets realized as the limit sets of certain Kleinian groups [招待あり] 2018 年度「リーマン面・不連続群論」研究集会 2018 年度「リーマン面・不連続群論」研究集会 2018 年度「リーマン面・不連続群論」研究集会 2019/02 日本語 口頭発表(招待・特別) 公開
Analysis of diffusions on self-similar and round Sierpiński carpets[招待あり] Analysis of diffusions on self-similar and round Sierpiński carpets [招待あり] Analysis of diffusions on self-similar and round Sierpiński carpets [招待あり] International Workshop: Okayama Workshop on Stochastic Analysis 2019 International Workshop: Okayama Workshop on Stochastic Analysis 2019 International Workshop: Okayama Workshop on Stochastic Analysis 2019 2019/02 英語 口頭発表(招待・特別) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues 2018 年度冬の力学系研究集会 2018 年度冬の力学系研究集会 2018 年度冬の力学系研究集会 2019/01 日本語 口頭発表(一般) 公開
フラクタル上のラプラシアンに対する解析学[招待あり] フラクタル上のラプラシアンに対する解析学 [招待あり] フラクタル上のラプラシアンに対する解析学 [招待あり] 日本数学会北海道支部講演会, 日本数学会北海道支部講演会, 日本数学会北海道支部講演会, 2018/12 日本語 口頭発表(招待・特別) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues 2018 年度確率論シンポジウム 2018 年度確率論シンポジウム 2018 年度確率論シンポジウム 2018/12 日本語 口頭発表(一般) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues 2018 年度エルゴード理論とその周辺 2018 年度エルゴード理論とその周辺 2018 年度エルゴード理論とその周辺 2018/11 日本語 口頭発表(一般) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] Probability Theory Seminar Probability Theory Seminar Probability Theory Seminar 2018/11 英語 口頭発表(招待・特別) 公開
フラクタル上のラプラシアンに対する解析学[招待あり] フラクタル上のラプラシアンに対する解析学 [招待あり] フラクタル上のラプラシアンに対する解析学 [招待あり] 奈良女子大学理学部数学科談話会 奈良女子大学理学部数学科談話会 奈良女子大学理学部数学科談話会 2018/10 日本語 口頭発表(招待・特別) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] International Conference: Fractal Geometry and Stochastics 6 International Conference: Fractal Geometry and Stochastics 6 International Conference: Fractal Geometry and Stochastics 6 2018/10 英語 口頭発表(招待・特別) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] International Conference: 9th International Conference on Stochastic Analysis and Its Applications International Conference: 9th International Conference on Stochastic Analysis and Its Applications International Conference: 9th International Conference on Stochastic Analysis and Its Applications 2018/09 英語 口頭発表(招待・特別) 公開
フラクタル上の拡散過程に対する解析学[招待あり] フラクタル上の拡散過程に対する解析学 [招待あり] フラクタル上の拡散過程に対する解析学 [招待あり] 平成30 年度確率論ヤングサマーセミナー 平成30 年度確率論ヤングサマーセミナー 平成30 年度確率論ヤングサマーセミナー 2018/08 日本語 口頭発表(招待・特別) 公開
Gauss 乗法カオスと2次元Liouville 量子重力の解析・幾何[招待あり] Gauss 乗法カオスと2次元Liouville 量子重力の解析・幾何 [招待あり] Gauss 乗法カオスと2次元Liouville 量子重力の解析・幾何 [招待あり] 平成30 年度確率論ヤングサマーセミナー 平成30 年度確率論ヤングサマーセミナー 平成30 年度確率論ヤングサマーセミナー 2018/08 日本語 口頭発表(招待・特別) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] International Workshop: Workshop on Stochastic Systems: their Analysis, Geometry and Perturbation International Workshop: Workshop on Stochastic Systems: their Analysis, Geometry and Perturbation International Workshop: Workshop on Stochastic Systems: their Analysis, Geometry and Perturbation 2018/07 英語 口頭発表(招待・特別) 公開
The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics[招待あり] The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics [招待あり] The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics [招待あり] International Conference: The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session: Perturbation Techniques in Stochastic Analysis and Its Applications International Conference: The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session: Perturbation Techniques in Stochastic Analysis and Its Applications International Conference: The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session: Perturbation Techniques in Stochastic Analysis and Its Applications 2018/07 英語 口頭発表(招待・特別) 公開
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [招待あり] International Workshop: 2018 Spring Probability Workshop International Workshop: 2018 Spring Probability Workshop International Workshop: 2018 Spring Probability Workshop 2018/06 英語 口頭発表(招待・特別) 公開
The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics[招待あり] The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics [招待あり] The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics [招待あり] International Workshop: 2nd Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas International Workshop: 2nd Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas International Workshop: 2nd Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas 2018/05 英語 口頭発表(招待・特別) 公開
Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups 2018 年度日本数学会年会・函数論分科会 2018 年度日本数学会年会・函数論分科会 2018 年度日本数学会年会・函数論分科会 2018/03 日本語 口頭発表(一般) 公開
2 次元Liouville 量子重力:距離関数の存在・次元・熱核評価[招待あり] 2 次元Liouville 量子重力:距離関数の存在・次元・熱核評価 [招待あり] 2 次元Liouville 量子重力:距離関数の存在・次元・熱核評価 [招待あり] 岡山-広島解析・確率論セミナー2018 岡山-広島解析・確率論セミナー2018 岡山-広島解析・確率論セミナー2018 2018/03 日本語 口頭発表(招待・特別) 公開
The Laplacian on self-conformal circle packing fractals: from ergodic theory to Weyl's eigenvalue asymptotics The Laplacian on self-conformal circle packing fractals: from ergodic theory to Weyl's eigenvalue asymptotics The Laplacian on self-conformal circle packing fractals: from ergodic theory to Weyl's eigenvalue asymptotics エルゴード理論とその周辺 エルゴード理論とその周辺 エルゴード理論とその周辺 2017/11 英語 口頭発表(一般) 公開
Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups[招待あり] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [招待あり] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [招待あり] International Workshop: Potential Analysis and its Related Fields 2017 International Workshop: Potential Analysis and its Related Fields 2017 International Workshop: Potential Analysis and its Related Fields 2017 2017/09 英語 口頭発表(招待・特別) 公開
Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups[招待あり] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [招待あり] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [招待あり] International Conference: Japanese-German Open Conference on Stochastic Analysis 2017 International Conference: Japanese-German Open Conference on Stochastic Analysis 2017 International Conference: Japanese-German Open Conference on Stochastic Analysis 2017 2017/09 英語 口頭発表(招待・特別) 公開
円詰込フラクタル上のLaplacian とその固有値に対するWeyl の漸近公式[招待あり] 円詰込フラクタル上のLaplacian とその固有値に対するWeyl の漸近公式 [招待あり] 円詰込フラクタル上のLaplacian とその固有値に対するWeyl の漸近公式 [招待あり] 東北大学数学教室談話会 東北大学数学教室談話会 東北大学数学教室談話会 2017/07 日本語 口頭発表(招待・特別) 公開
Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups[招待あり] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups [招待あり] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups [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 英語 口頭発表(招待・特別) 公開
The Laplacian on some finitely ramified self-conformal circle packing fractals and Weyl's asymptotics for its eigenvalues[招待あり] The Laplacian on some finitely ramified self-conformal circle packing fractals and Weyl's asymptotics for its eigenvalues [招待あり] The Laplacian on some finitely ramified self-conformal circle packing fractals and Weyl's asymptotics for its eigenvalues [招待あり] One day workshop on stochastic differential geometry One day workshop on stochastic differential geometry One day workshop on stochastic differential geometry 2017/05 英語 口頭発表(招待・特別) 公開
Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups[招待あり] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups [招待あり] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups [招待あり] International Workshop: Dirichlet forms and their geometry International Workshop: Dirichlet forms and their geometry International Workshop: Dirichlet forms and their geometry 東北大学情報科学研究科 東北大学情報科学研究科 2017/03 英語 口頭発表(招待・特別) 公開
Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups[招待あり] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [招待あり] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [招待あり] RIMS camp-style seminar: Large scale properties of partial differential equations with random coefficients RIMS camp-style seminar: Large scale properties of partial differential equations with random coefficients RIMS camp-style seminar: Large scale properties of partial differential equations with random coefficients RIMS RIMS 2017 英語 口頭発表(招待・特別) 公開
Weyl's eigenvalue asymptotics for the Laplacian on circle packing limitsets of certain Kleinian groups Weyl's eigenvalue asymptotics for the Laplacian on circle packing limitsets of certain Kleinian groups Weyl's eigenvalue asymptotics for the Laplacian on circle packing limitsets of certain Kleinian groups International Workshop:“Heat Kernels, Stochastic Processes and Functional Inequalities” International Workshop:“Heat Kernels, Stochastic Processes and Functional Inequalities” International Workshop:“Heat Kernels, Stochastic Processes and Functional Inequalities” オーバーヴォルファッハ数学研究所 オーバーヴォルファッハ数学研究所 2016/12 英語 口頭発表(一般) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics “46th Saint-Flour Probability Summer School” “46th Saint-Flour Probability Summer School” “46th Saint-Flour Probability Summer School” 2016/07 英語 口頭発表(一般) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] International Workshop: “Heat Kernels and Analysis on Manifolds and Fractals” International Workshop: “Heat Kernels and Analysis on Manifolds and Fractals” International Workshop: “Heat Kernels and Analysis on Manifolds and Fractals” ビーレフェルト大学 ビーレフェルト大学 2016/07 英語 口頭発表(招待・特別) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] International Conference: “ The 8th International Conference on Stochastic Analysis and Its Applications” International Conference: “ The 8th International Conference on Stochastic Analysis and Its Applications” International Conference: “ The 8th International Conference on Stochastic Analysis and Its Applications” 北京理工大学 北京理工大学 2016/06 英語 口頭発表(招待・特別) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] International Workshop: “Dynamics, Ergodic Theory and Fractals” International Workshop: “Dynamics, Ergodic Theory and Fractals” International Workshop: “Dynamics, Ergodic Theory and Fractals” 大阪大学 大阪大学 2016/05 英語 口頭発表(招待・特別) 公開
論文紹介:H. Oh and N. A. Shah, "The asymptotic distribution of circles in the orbits ofKleinian groups" Invent. Math. 187 (2012) 1-35, およびH. Kesten, "Renewal theory for functionals of aMarkov chain with general state space", Ann. Probab. 2 (1974) 355-386[招待あり] 論文紹介:H. Oh and N. A. Shah, "The asymptotic distribution of circles in the orbits ofKleinian groups" Invent. Math. 187 (2012) 1-35, およびH. Kesten, "Renewal theory for functionals of aMarkov chain with general state space", Ann. Probab. 2 (1974) 355-386 [招待あり] 論文紹介:H. Oh and N. A. Shah, "The asymptotic distribution of circles in the orbits ofKleinian groups" Invent. Math. 187 (2012) 1-35, およびH. Kesten, "Renewal theory for functionals of aMarkov chain with general state space", Ann. Probab. 2 (1974) 355-386 [招待あり] 4th Spring School on Stochastic and Geometric Analysis 4th Spring School on Stochastic and Geometric Analysis 4th Spring School on Stochastic and Geometric Analysis 2016/04 英語 口頭発表(招待・特別) 公開
Open Problem: Optimal transport & L2-Wasserstein geodesics on the Apollonian gasket[招待あり] Open Problem: Optimal transport & L2-Wasserstein geodesics on the Apollonian gasket [招待あり] Open Problem: Optimal transport & L2-Wasserstein geodesics on the Apollonian gasket [招待あり] 4th Spring School on Stochastic and Geometric Analysis 4th Spring School on Stochastic and Geometric Analysis 4th Spring School on Stochastic and Geometric Analysis 2016/04 英語 口頭発表(招待・特別) 公開
Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula[招待あり] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula [招待あり] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula [招待あり] International Workshop: “Workshop on SDEs and Stochastic Processes” International Workshop: “Workshop on SDEs and Stochastic Processes” International Workshop: “Workshop on SDEs and Stochastic Processes” 南開大学数理科学研究所 南開大学数理科学研究所 2016/04 英語 口頭発表(招待・特別) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] International Workshop: “The 1st Hong Kong Kyoto Workshop on Fractal Geometry and Related Areas” International Workshop: “The 1st Hong Kong Kyoto Workshop on Fractal Geometry and Related Areas” International Workshop: “The 1st Hong Kong Kyoto Workshop on Fractal Geometry and Related Areas” 2016/03 英語 口頭発表(招待・特別) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] International Workshop: “2016 Spring Probability Workshop” International Workshop: “2016 Spring Probability Workshop” International Workshop: “2016 Spring Probability Workshop” 2016/03 英語 口頭発表(招待・特別) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics RIMS研究集会 複素力学系の深化 RIMS研究集会 複素力学系の深化 RIMS研究集会 複素力学系の深化 2015/12 英語 口頭発表(一般) 公開
Laplacian eigenvalue asymptotics on fractals via Kesten's renewaltheorem forfunctionals of Markov chains (Kesten [Ann. Probab.2 (1974),355--386]の論文紹介) Laplacian eigenvalue asymptotics on fractals via Kesten's renewaltheorem forfunctionals of Markov chains (Kesten [Ann. Probab.2 (1974),355--386]の論文紹介) Laplacian eigenvalue asymptotics on fractals via Kesten's renewaltheorem forfunctionals of Markov chains (Kesten [Ann. Probab.2 (1974),355--386]の論文紹介) 無限粒子系、確率場の諸問題XI 無限粒子系、確率場の諸問題XI 無限粒子系、確率場の諸問題XI 2015/12 日本語 口頭発表(一般) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] 確率論と幾何学 確率論と幾何学 確率論と幾何学 2015/11 英語 口頭発表(招待・特別) 公開
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [招待あり] International Conference:“Stochastic Analysis” International Conference:“Stochastic Analysis” International Conference:“Stochastic Analysis” 2015/09 英語 口頭発表(招待・特別) 公開
Apollonian gasket 上のLaplacianとそのWeyl型固有値漸近挙動 Apollonian gasket 上のLaplacianとそのWeyl型固有値漸近挙動 Apollonian gasket 上のLaplacianとそのWeyl型固有値漸近挙動 2015年度日本数学会秋季総合分科会・函数論分科会 2015年度日本数学会秋季総合分科会・函数論分科会 2015年度日本数学会秋季総合分科会・函数論分科会 2015/09 日本語 口頭発表(一般) 公開
Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula[招待あり] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula [招待あり] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula [招待あり] International Conference:“Stochastic Analysis and Applications(German-Japanese bilateral research project, 2015)” International Conference:“Stochastic Analysis and Applications(German-Japanese bilateral research project, 2015)” International Conference:“Stochastic Analysis and Applications(German-Japanese bilateral research project, 2015)” 2015/08 英語 口頭発表(招待・特別) 公開
Heat kernel analysis for Brownian motion of 2-dimensional Liouville quantum gravity[招待あり] Heat kernel analysis for Brownian motion of 2-dimensional Liouville quantum gravity [招待あり] Heat kernel analysis for Brownian motion of 2-dimensional Liouville quantum gravity [招待あり] International Conference: “38th Conference on Stochastic Processes and their Applications” International Conference: “38th Conference on Stochastic Processes and their Applications” International Conference: “38th Conference on Stochastic Processes and their Applications” 2015/07 英語 口頭発表(招待・特別) 公開
Analysis of Liouville Brownian motion:heat kernel (and averaged spectral asymptotics)[招待あり] Analysis of Liouville Brownian motion:heat kernel (and averaged spectral asymptotics) [招待あり] Analysis of Liouville Brownian motion:heat kernel (and averaged spectral asymptotics) [招待あり] RIMS合宿型セミナー“確率解析の新展開” RIMS合宿型セミナー“確率解析の新展開” RIMS合宿型セミナー“確率解析の新展開” 2015/07 英語 口頭発表(招待・特別) 公開
多重Dynkin-Hunt公式による拡散過程の熱核の時空間限局的上方評価 多重Dynkin-Hunt公式による拡散過程の熱核の時空間限局的上方評価 多重Dynkin-Hunt公式による拡散過程の熱核の時空間限局的上方評価 神戸Workshop 格子上の確率解析とその周辺 神戸Workshop 格子上の確率解析とその周辺 神戸Workshop 格子上の確率解析とその周辺 2015/03 日本語 口頭発表(一般) 公開
多重Dynkin-Hunt公式による拡散過程の熱核の時空間限局的上方評価 多重Dynkin-Hunt公式による拡散過程の熱核の時空間限局的上方評価 多重Dynkin-Hunt公式による拡散過程の熱核の時空間限局的上方評価 2015年度日本数学会年会・統計数学分科会 2015年度日本数学会年会・統計数学分科会 2015年度日本数学会年会・統計数学分科会 2015/03 日本語 口頭発表(一般) 公開
2次元Liouville量子重力下のBrown運動に対する熱核解析[招待あり] 2次元Liouville量子重力下のBrown運動に対する熱核解析 [招待あり] 2次元Liouville量子重力下のBrown運動に対する熱核解析 [招待あり] 2015年度日本数学会年会・統計数学分科会 2015年度日本数学会年会・統計数学分科会 2015年度日本数学会年会・統計数学分科会 2015/03 日本語 口頭発表(招待・特別) 公開
Continuity and estimates of the transition density of the Liouville Brownian motion Continuity and estimates of the transition density of the Liouville Brownian motion Continuity and estimates of the transition density of the Liouville Brownian motion 確率論シンポジウム 確率論シンポジウム 確率論シンポジウム 2014/12 日本語 口頭発表(一般) 公開
Liouville Brown運動の推移確率密度の連続性と評価 Liouville Brown運動の推移確率密度の連続性と評価 Liouville Brown運動の推移確率密度の連続性と評価 無限粒子系、確率場の諸問題X 無限粒子系、確率場の諸問題X 無限粒子系、確率場の諸問題X 2014/11 日本語 口頭発表(一般) 公開
Spectral volume and surface measures via the Dixmier trace for local symmetric Dirichlet spaces with Weyl type eigenvalue asymptotics[招待あり] Spectral volume and surface measures via the Dixmier trace for local symmetric Dirichlet spaces with Weyl type eigenvalue asymptotics [招待あり] Spectral volume and surface measures via the Dixmier trace for local symmetric Dirichlet spaces with Weyl type eigenvalue asymptotics [招待あり] International Workshop:Workshop on Dirichlet Forms & Stochastic Analysis 2014 International Workshop:Workshop on Dirichlet Forms & Stochastic Analysis 2014 International Workshop:Workshop on Dirichlet Forms & Stochastic Analysis 2014 2014/10 英語 口頭発表(招待・特別) 公開
Continuity and estimates of the transition density of the Liouville Brownian motion[招待あり] Continuity and estimates of the transition density of the Liouville Brownian motion [招待あり] Continuity and estimates of the transition density of the Liouville Brownian motion [招待あり] International Workshop: Dirichlet Form Theory and its Applications International Workshop: Dirichlet Form Theory and its Applications International Workshop: Dirichlet Form Theory and its Applications 2014/10 英語 口頭発表(招待・特別) 公開
点再帰的強局所対称Dirichlet空間における内部一様領域上のNeumann熱核評価 点再帰的強局所対称Dirichlet空間における内部一様領域上のNeumann熱核評価 点再帰的強局所対称Dirichlet空間における内部一様領域上のNeumann熱核評価 2014年度日本数学会秋季総合分科会・統計数学分科会 2014年度日本数学会秋季総合分科会・統計数学分科会 2014年度日本数学会秋季総合分科会・統計数学分科会 2014/09 日本語 口頭発表(一般) 公開
Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics Seminars with E. Milman Seminars with E. Milman Seminars with E. Milman 2014/09 英語 口頭発表(一般) 公開
Localized heat kernel upper bounds for diffusions[招待あり] Localized heat kernel upper bounds for diffusions [招待あり] Localized heat kernel upper bounds for diffusions [招待あり] Workshop: ``Swansea-Japanese Workshop on Stochastic Analysis" Workshop: ``Swansea-Japanese Workshop on Stochastic Analysis" Workshop: ``Swansea-Japanese Workshop on Stochastic Analysis" 2014/09 英語 口頭発表(招待・特別) 公開
Continuity and estimates of the transition density of the Liouville Brownian motion Continuity and estimates of the transition density of the Liouville Brownian motion Continuity and estimates of the transitiond ensity of the Liouville Brownian motion International Workshop: ``UK-Japan Stochastic Analysis School" International Workshop: ``UK-Japan Stochastic Analysis School" International Workshop: ``UK-Japan Stochastic Analysis School" 2014/09 英語 口頭発表(一般) 公開
Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics[招待あり] Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics [招待あり] Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics [招待あり] International Conference:``Stochastic Processes, Analysis and Mathematical Physics" International Conference:``Stochastic Processes, Analysis and Mathematical Physics" International Conference:``Stochastic Processes, Analysis and Mathematical Physics" 2014/08 英語 口頭発表(招待・特別) 公開
Continuity and estimates of the Liouville heat kernelwith applications to spectral dimensions Continuity and estimates of the Liouville heat kernelwith applications to spectral dimensions Continuity and estimates of the Liouville heat kernelwith applications to spectral dimensions 44th Saint-Flour Probability Summer School 44th Saint-Flour Probability Summer School 44th Saint-Flour Probability Summer School 2014/07 英語 口頭発表(一般) 公開
Spectral volume measure via the Dixmier trace for Dirichlet spaces with Weyl type eigenvalue asymptotics Spectral volume measure via the Dixmier trace for Dirichlet spaces with Weyl type eigenvalue asymptotics Spectral volume measure via the Dixmier trace for Dirichlet spaces with Weyl type eigenvalue asymptotics International Conference: ``Fractal Geometry and Stochastics V" International Conference: ``Fractal Geometry and Stochastics V" International Conference: ``Fractal Geometry and Stochastics V" 2014/03 英語 口頭発表(一般) 公開
Neumann heat kernel estimates in inner uniform domains for point-recurrent strongly local Dirichlet spaces[招待あり] Neumann heat kernel estimates in inner uniform domains for point-recurrent strongly local Dirichlet spaces [招待あり] Neumann heat kernel estimates in inner uniform domains for point-recurrent strongly local Dirichlet spaces [招待あり] Workshop: ``Stochastic Processes and Mathematical Finance" Workshop: ``Stochastic Processes and Mathematical Finance" Workshop: ``Stochastic Processes and Mathematical Finance" 関西大学 関西大学 2014/02 英語 口頭発表(招待・特別) 公開
調和Sierpiński gasketにおける最短測地線の構造 調和Sierpiński gasketにおける最短測地線の構造 調和Sierpiński gasketにおける最短測地線の構造 確率論シンポジウム 確率論シンポジウム 確率論シンポジウム 京都大学数理解析研究所 京都大学数理解析研究所 2013/12 日本語 口頭発表(一般) 公開
Sierpińskigasket上の測度論的Riemann構造に対するLaplacianのWeyl型固有値漸近挙動 Sierpińskigasket上の測度論的Riemann構造に対するLaplacianのWeyl型固有値漸近挙動 Sierpińskigasket上の測度論的Riemann構造に対するLaplacianのWeyl型固有値漸近挙動 確率論シンポジウム 確率論シンポジウム 確率論シンポジウム 京都大学数理解析研究所 京都大学数理解析研究所 2013/12 日本語 口頭発表(一般) 公開
点再帰的強局所Dirichlet空間における内部一様領域上のNeumann熱核評価 点再帰的強局所Dirichlet空間における内部一様領域上のNeumann熱核評価 点再帰的強局所Dirichlet空間における内部一様領域上のNeumann熱核評価 マルコフ過程とその周辺 マルコフ過程とその周辺 マルコフ過程とその周辺 東北大学 東北大学 2013/11 日本語 口頭発表(一般) 公開
Sierpiński gasket上の測度論的Riemann 構造の幾何:最短測地線の構造とRicci曲率の下からの非有界性 Sierpiński gasket上の測度論的Riemann 構造の幾何:最短測地線の構造とRicci曲率の下からの非有界性 Geometry of the measurable Riemannian structure on the Sierpiński gasket: structure of minimal geodesics and Ricci lower unboundedness 2013年度日本数学会秋季総合分科会幾何学分科会 2013年度日本数学会秋季総合分科会幾何学分科会 2013年度日本数学会秋季総合分科会幾何学分科会 日本数学会 日本数学会 2013/09 日本語 口頭発表(一般) 公開
Sierpiński carpets上の熱核の(非)周期的漸近挙動 Sierpiński carpets上の熱核の(非)周期的漸近挙動 (Non-)periodic asymptotics of the heat kernel on Sierpiński carpets 2013年度日本数学会秋季総合分科会統計数学分科会 2013年度日本数学会秋季総合分科会統計数学分科会 2013年度日本数学会秋季総合分科会統計数学分科会 日本数学会 日本数学会 2013/09 日本語 口頭発表(一般) 公開
Periodic and non-periodic aspects of the heat kernel asymptotics on Sierpiński carpets Periodic and non-periodic aspects of the heat kernel asymptotics on Sierpiński carpets Periodic and non-periodic aspects of the heat kernel asymptotics on Sierpiński carpets Dirichlet Forms and Applications: German-Japanese Meeting on Stochastic Analysis Dirichlet Forms and Applications: German-Japanese Meeting on Stochastic Analysis Dirichlet Forms and Applications: German-Japanese Meeting on Stochastic Analysis 2013/09 英語 口頭発表(一般) 公開
Periodic and non-periodic aspects of heat kernel asymptotics on Sierpiński carpets Periodic and non-periodic aspects of heat kernel asymptotics on Sierpiński carpets Periodic and non-periodic aspects of heat kernel asymptotics on Sierpiński carpets Heat Kernels, Stochastic Processes and Functional Inequalities Heat Kernels, Stochastic Processes and Functional Inequalities Heat Kernels, Stochastic Processes and Functional Inequalities 2013/05 英語 口頭発表(一般) 公開
自己相似フラクタル上のLaplacianの固有値・熱核の漸近挙動[招待あり] 自己相似フラクタル上のLaplacianの固有値・熱核の漸近挙動 [招待あり] Asymptotic behavior of Laplacian eigenvalues and heat kernels on self-similar fractals [招待あり] ワークショップ:確率論早春セミナー ワークショップ:確率論早春セミナー ワークショップ:確率論早春セミナー 2013/03 日本語 口頭発表(招待・特別) 公開
Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket International Workshop: Interactions Between Analysis and Geometry --- Workshop I: Analysis on Metric Spaces International Workshop: Interactions Between Analysis and Geometry --- Workshop I: Analysis on Metric Spaces International Workshop: Interactions Between Analysis and Geometry --- Workshop I: Analysis on Metric Spaces 2013/03 英語 口頭発表(一般) 公開
Periodic and non-periodic aspects of the heat kernel asymptotics on Sierpi\'{n}ski carpets Periodic and non-periodic aspects of the heat kernel asymptotics on Sierpi\'{n}ski carpets Periodic and non-periodic aspects of the heat kernel asymptotics on Sierpi\'{n}ski carpets International Conference: Advances on Fractals and Related Topics 2012 International Conference: Advances on Fractals and Related Topics 2012 International Conference: Advances on Fractals and Related Topics 2012 2012/12 英語 口頭発表(一般) 公開
Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket RIMS meeting: Potential Theory and its Related Fields RIMS meeting: Potential Theory and its Related Fields RIMS meeting: Potential Theory and its Related Fields 2012/09 英語 口頭発表(一般) 公開
Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket International Conference: 6th International Conference on Stochastic Analysis and Its Applications International Conference: 6th International Conference on Stochastic Analysis and Its Applications International Conference: 6th International Conference on Stochastic Analysis and Its Applications 2012/09 英語 口頭発表(一般) 公開
Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket[招待あり] Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket [招待あり] Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket [招待あり] Mini-Workshop: Dirichlet forms, Riemannian structures and Spectral analysis on Fractals Mini-Workshop: Dirichlet forms, Riemannian structures and Spectral analysis on Fractals Mini-Workshop: Dirichlet forms, Riemannian structures and Spectral analysis on Fractals 2012/07 英語 口頭発表(招待・特別) 公開
Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals Workshop: 5th Probability at Warwick Young Researchers Workshop Workshop: 5th Probability at Warwick Young Researchers Workshop Workshop: 5th Probability at Warwick Young Researchers Workshop 2012/07 英語 口頭発表(一般) 公開
Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals[招待あり] Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals [招待あり] Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals [招待あり] Mini-Workshop: Dirichlet forms, Riemannian structures and Spectral analysis on Fractals Mini-Workshop: Dirichlet forms, Riemannian structures and Spectral analysis on Fractals Mini-Workshop: Dirichlet forms, Riemannian structures and Spectral analysis on Fractals 2012/07 英語 口頭発表(招待・特別) 公開
Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals International Conference: Nonlocal Operators: Analysis, Probability, Geometry and Applications International Conference: Nonlocal Operators: Analysis, Probability, Geometry and Applications International Conference: Nonlocal Operators: Analysis, Probability, Geometry and Applications 2012/07 英語 口頭発表(一般) 公開
On-diagonal oscillation of the heat kernels on p.c.f.~self-similar fractals On-diagonal oscillation of the heat kernels on p.c.f.~self-similar fractals On-diagonal oscillation of the heat kernels on p.c.f.~self-similar fractals International Conference: 10th German Probability and Statistics Days 2012 International Conference: 10th German Probability and Statistics Days 2012 International Conference: 10th German Probability and Statistics Days 2012 2012/03 英語 口頭発表(一般) 公開
Non-regularly varying non-periodic oscillation of on-diagonal heat kernels on self-similar fractals Non-regularly varying non-periodic oscillation of on-diagonal heat kernels on self-similar fractals Non-regularly varying non-periodic oscillation of on-diagonal heat kernels on self-similar fractals Workshop: Stochastic Analysis and its Applications Workshop: Stochastic Analysis and its Applications Workshop: Stochastic Analysis and its Applications 2012/03 英語 口頭発表(一般) 公開
On-diagonal oscillation of the heat kernels on p.c.f.~self-similar fractals On-diagonal oscillation of the heat kernels on p.c.f.~self-similar fractals On-diagonal oscillation of the heat kernels on p.c.f.~self-similar fractals AMS Special Session on Fractal Geometry in Pure and Applied Mathematics (in memory of Benoit Mandelbrot), 2012 Joint Mathematics Meetings AMS Special Session on Fractal Geometry in Pure and Applied Mathematics (in memory of Benoit Mandelbrot), 2012 Joint Mathematics Meetings AMS Special Session on Fractal Geometry in Pure and Applied Mathematics (in memory of Benoit Mandelbrot), 2012 Joint Mathematics Meetings 2012/01 英語 口頭発表(一般) 公開

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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
2011年度日本数学会賞建部賢弘賞奨励賞 日本数学会 Mathematical Society of Japan 2011/09/29