梶野 直孝

Last Update: 2021/06/21 20:32:09

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Name(Kanji/Kana/Abecedarium Latinum)
梶野 直孝/カジノ ナオタカ/Kajino, Naotaka
Primary Affiliation(Org1/Job title)
Research Institute for Mathematical Sciences (RIMS)/Associate Professor
Affiliated programs (koza)
Org1 Job title
Graduate School of Science Associate Professor
E-mail Address
E-mail address
nkajino @ kurims.kyoto-u.ac.jp
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
修士(情報学) 京都大学
博士(情報学) 京都大学
Personal Profile
(Japanese)
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.
(English)
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.
Language of Instruction
Language(japanese) Language(english) Code
日本語 Japanese jpn
英語 English eng
Personal Website(s) (URL(s))
URL
https://www.kurims.kyoto-u.ac.jp/~nkajino/
ORCID ID
https://orcid.org/0000-0002-0284-4608
researchmap URL
https://researchmap.jp/7000005709
Research Topics
(Japanese)
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
(English)
probability theory, analysis of Laplacians and their associated diffusion processes on fractals
Overview of the research
(Japanese)
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.
(English)
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.
Fields of research (key words)
Key words(Japanese) Key words(English)
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
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
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 Refereed English Research paper(scientific journal) Disclose to all
Naotaka KAJINO 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 Refereed English Research paper(scientific journal) Disclose to all
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 Refereed English Research paper(scientific journal) Disclose to all
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 Refereed English Research paper(scientific journal) Disclose to all
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 Refereed English Research paper(scientific journal) Disclose to all
KAJINO Naotaka 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 Refereed English Research paper(international conference proceedings) Disclose to all
N.~Kajino 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 Refereed English Research paper(international conference proceedings) Disclose to all
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 Refereed English Research paper(scientific journal) Disclose to all
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 Refereed English Research paper(scientific journal) Disclose to all
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 Refereed English Research paper(scientific journal) Disclose to all
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 Refereed English Research paper(international conference proceedings) Disclose to all
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 Refereed English Research paper(scientific journal) Disclose to all

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Title language:
Misc
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
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 English Article, review, commentary, editorial, etc.(international conference proceedings) Disclose to all
Naotaka Kajino 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 Japanese Article, review, commentary, editorial, etc.(other) Disclose to all
Naotaka KAJINO 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 Japanese Article, review, commentary, editorial, etc.(other) Disclose to all
KAJINO Naotaka 梶野 直孝 KAJINO Naotaka Analysis on fractals 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 Japanese Article, review, commentary, editorial, etc.(other) Disclose to all
Title language:
Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment Disclose
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 Japanese Oral presentation(general) Disclose to all
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
フラクタル上のラプラシアンに対する解析学[Invited] フラクタル上のラプラシアンに対する解析学 [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
Sub-Gaussian heat kernel bounds imply singularity of energy measures[Invited] Sub-Gaussian heat kernel bounds imply singularity of energy measures [Invited] Sub-Gaussian heat kernel bounds imply singularity of energy measures [Invited] 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 English Oral presentation(invited, special) Disclose to all
Analysis of Laplacians on fractals[Invited] フラクタル上のラプラシアンに対する解析学 [Invited] Analysis of Laplacians on fractals [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
Sub-Gaussian heat kernel bounds imply singularity of energy measures[Invited] Sub-Gaussian heat kernel bounds imply singularity of energy measures [Invited] Sub-Gaussian heat kernel bounds imply singularity of energy measures [Invited] 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [Invited] International Workshop: Research on the Theory of Random Dynamical Systems and Fractal Geometry 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues [Invited] International Conference: The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI): Stochastic Analysis, Random Fields and Integrable Probability 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 English Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
The Laplacian and Weyl's eigenvalue asymptotics on round Sierpiński carpets realized as the limit sets of certain Kleinian groups[Invited] The Laplacian and Weyl's eigenvalue asymptotics on round Sierpiński carpets realized as the limit sets of certain Kleinian groups [Invited] The Laplacian and Weyl's eigenvalue asymptotics on round Sierpiński carpets realized as the limit sets of certain Kleinian groups [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
Analysis of diffusions on self-similar and round Sierpiński carpets[Invited] Analysis of diffusions on self-similar and round Sierpiński carpets [Invited] Analysis of diffusions on self-similar and round Sierpiński carpets [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
フラクタル上のラプラシアンに対する解析学[Invited] フラクタル上のラプラシアンに対する解析学 [Invited] フラクタル上のラプラシアンに対する解析学 [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] Probability Theory Seminar Probability Theory Seminar Probability Theory Seminar 2018/11 English Oral presentation(invited, special) Disclose to all
フラクタル上のラプラシアンに対する解析学[Invited] フラクタル上のラプラシアンに対する解析学 [Invited] フラクタル上のラプラシアンに対する解析学 [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] International Conference: Fractal Geometry and Stochastics 6 International Conference: Fractal Geometry and Stochastics 6 International Conference: Fractal Geometry and Stochastics 6 2018/10 English Oral presentation(invited, special) Disclose to all
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] 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 English Oral presentation(invited, special) Disclose to all
フラクタル上の拡散過程に対する解析学[Invited] フラクタル上の拡散過程に対する解析学 [Invited] フラクタル上の拡散過程に対する解析学 [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
Gauss 乗法カオスと2次元Liouville 量子重力の解析・幾何[Invited] Gauss 乗法カオスと2次元Liouville 量子重力の解析・幾何 [Invited] Gauss 乗法カオスと2次元Liouville 量子重力の解析・幾何 [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics[Invited] The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics [Invited] The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics [Invited] 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some round Sierpiński carpets and Weyl's asymptotics for its eigenvalues [Invited] International Workshop: 2018 Spring Probability Workshop International Workshop: 2018 Spring Probability Workshop International Workshop: 2018 Spring Probability Workshop 2018/06 English Oral presentation(invited, special) Disclose to all
The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics[Invited] The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics [Invited] The Laplacian on circle packing fractals: from Kesten's renewal theorem, via conformal dynamics, to Weyl's eigenvalue asymptotics [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
2 次元Liouville 量子重力:距離関数の存在・次元・熱核評価[Invited] 2 次元Liouville 量子重力:距離関数の存在・次元・熱核評価 [Invited] 2 次元Liouville 量子重力:距離関数の存在・次元・熱核評価 [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
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 English Oral presentation(general) Disclose to all
Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups[Invited] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [Invited] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [Invited] 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 English Oral presentation(invited, special) Disclose to all
Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups[Invited] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [Invited] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [Invited] 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 English Oral presentation(invited, special) Disclose to all
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[Invited] 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 [Invited] 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 [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups[Invited] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups [Invited] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups [Invited] 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on some finitely ramified self-conformal circle packing fractals and Weyl's asymptotics for its eigenvalues[Invited] The Laplacian on some finitely ramified self-conformal circle packing fractals and Weyl's asymptotics for its eigenvalues [Invited] The Laplacian on some finitely ramified self-conformal circle packing fractals and Weyl's asymptotics for its eigenvalues [Invited] One day workshop on stochastic differential geometry One day workshop on stochastic differential geometry One day workshop on stochastic differential geometry 2017/05 English Oral presentation(invited, special) Disclose to all
Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups[Invited] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups [Invited] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups [Invited] 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 English Oral presentation(invited, special) Disclose to all
Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups[Invited] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [Invited] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] 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 English Oral presentation(invited, special) Disclose to all
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[Invited] 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 [Invited] 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 [Invited] 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 English Oral presentation(invited, special) Disclose to all
Open Problem: Optimal transport & L2-Wasserstein geodesics on the Apollonian gasket[Invited] Open Problem: Optimal transport & L2-Wasserstein geodesics on the Apollonian gasket [Invited] Open Problem: Optimal transport & L2-Wasserstein geodesics on the Apollonian gasket [Invited] 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 English Oral presentation(invited, special) Disclose to all
Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula[Invited] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula [Invited] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula [Invited] 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] 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 English Oral presentation(invited, special) Disclose to all
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] International Workshop: “2016 Spring Probability Workshop” International Workshop: “2016 Spring Probability Workshop” International Workshop: “2016 Spring Probability Workshop” 2016/03 English Oral presentation(invited, special) Disclose to all
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 English Oral presentation(general) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] 確率論と幾何学 確率論と幾何学 確率論と幾何学 2015/11 English Oral presentation(invited, special) Disclose to all
The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics[Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics [Invited] International Conference:“Stochastic Analysis” International Conference:“Stochastic Analysis” International Conference:“Stochastic Analysis” 2015/09 English Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula[Invited] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula [Invited] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula [Invited] 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 English Oral presentation(invited, special) Disclose to all
Heat kernel analysis for Brownian motion of 2-dimensional Liouville quantum gravity[Invited] Heat kernel analysis for Brownian motion of 2-dimensional Liouville quantum gravity [Invited] Heat kernel analysis for Brownian motion of 2-dimensional Liouville quantum gravity [Invited] 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 English Oral presentation(invited, special) Disclose to all
Analysis of Liouville Brownian motion:heat kernel (and averaged spectral asymptotics)[Invited] Analysis of Liouville Brownian motion:heat kernel (and averaged spectral asymptotics) [Invited] Analysis of Liouville Brownian motion:heat kernel (and averaged spectral asymptotics) [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
2次元Liouville量子重力下のBrown運動に対する熱核解析[Invited] 2次元Liouville量子重力下のBrown運動に対する熱核解析 [Invited] 2次元Liouville量子重力下のBrown運動に対する熱核解析 [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
Spectral volume and surface measures via the Dixmier trace for local symmetric Dirichlet spaces with Weyl type eigenvalue asymptotics[Invited] Spectral volume and surface measures via the Dixmier trace for local symmetric Dirichlet spaces with Weyl type eigenvalue asymptotics [Invited] Spectral volume and surface measures via the Dixmier trace for local symmetric Dirichlet spaces with Weyl type eigenvalue asymptotics [Invited] 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 English Oral presentation(invited, special) Disclose to all
Continuity and estimates of the transition density of the Liouville Brownian motion[Invited] Continuity and estimates of the transition density of the Liouville Brownian motion [Invited] Continuity and estimates of the transition density of the Liouville Brownian motion [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
Localized heat kernel upper bounds for diffusions[Invited] Localized heat kernel upper bounds for diffusions [Invited] Localized heat kernel upper bounds for diffusions [Invited] Workshop: ``Swansea-Japanese Workshop on Stochastic Analysis" Workshop: ``Swansea-Japanese Workshop on Stochastic Analysis" Workshop: ``Swansea-Japanese Workshop on Stochastic Analysis" 2014/09 English Oral presentation(invited, special) Disclose to all
Continuity and estimates of the transitiond ensity 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 English Oral presentation(general) Disclose to all
Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics[Invited] Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics [Invited] Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
Neumann heat kernel estimates in inner uniform domains for point-recurrent strongly local Dirichlet spaces[Invited] Neumann heat kernel estimates in inner uniform domains for point-recurrent strongly local Dirichlet spaces [Invited] Neumann heat kernel estimates in inner uniform domains for point-recurrent strongly local Dirichlet spaces [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
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 Japanese Oral presentation(general) Disclose to all
Geometry of the measurable Riemannian structure on the Sierpiński gasket: structure of minimal geodesics and Ricci lower unboundedness 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 Japanese Oral presentation(general) Disclose to all
(Non-)periodic asymptotics of the heat kernel on Sierpiński carpets 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 Japanese Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
Asymptotic behavior of Laplacian eigenvalues and heat kernels on self-similar fractals[Invited] 自己相似フラクタル上のLaplacianの固有値・熱核の漸近挙動 [Invited] Asymptotic behavior of Laplacian eigenvalues and heat kernels on self-similar fractals [Invited] 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 Japanese Oral presentation(invited, special) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket[Invited] Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket [Invited] Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpi\'{n}ski gasket [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 English Oral presentation(general) Disclose to all
Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals[Invited] Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals [Invited] Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals [Invited] 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 English Oral presentation(invited, special) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all
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 English Oral presentation(general) Disclose to all

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Title language:
Awards
Title(Japanese) Title(English) Organization name(Japanese) Organization name(English) Date
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