Basic Information

Faculty

• 理学部

Professional Memberships

• THE MATHEMATICAL SOCIETY OF JAPAN

Academic Degree

• 修士（理学）(慶應義塾大学)
• 博士（理学）(慶應義塾大学)

Research History

• From Apr. 2023, To Present

  Kyoto University, Graduate School of Science Division of Mathematics, Professor
• From Apr. 2019, To Mar. 2023

  Kyoto University, Graduate School of Science, Associate Professor
• From Apr. 2016, To Mar. 2019

  Okayama University, Research Institute for Interdisciplinary Science, Associate Professor
• From Oct. 2015, To Mar. 2016

  Okayama University, Graduate School of Natural Science and Technology, Associate Professor
• From Oct. 2012, To Sep. 2015

  Tohoku University, Graduate School of Science, Department of Mathematics, Assistant Professor
• From Apr. 2011, To Sep. 2012

  Kyoto University, Graduate School of Science, 日本学術振興会特別研究員PD
• From Oct. 2010, To Mar. 2011

  Keio University, 大学院理工学研究科, 日本学術振興会特別研究員PD
• From Apr. 2008, To Sep. 2010

  Keio University, 大学院理工学研究科, 日本学術振興会特別研究員DC1

Language of Instruction

• Japanese
• English

ID,URL

• J-Global ID

  201301051917078577

• Researcher number

  20646814

researchmap URL

• https://researchmap.jp/7000004450

Research

Research Topics, Overview of the research

• Research Topics

  確率論, 確率解析

• Overview of the research

  確率微分方程式やマリアヴァン解析といった確率解析の研究、及びそれらの他分野への応用について研究をしている。

Research Interests

• Constructive quantum field theory
• Malliavin Calculus
• Stochastic Partial Differential Equation
• Stochastic Differential Equation
• Stochastic Analysis
• Probability Theory

Research Areas

• Natural sciences, Basic analysis, 確率論

Papers

• Regularity Structures for Quasilinear Singular SPDEs

  I. Bailleul; M. Hoshino; S. Kusuoka

  Archive for Rational Mechanics and Analysis, 29 Nov. 2024

  
• Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated Resolvents

  Seiichiro Kusuoka; Kazuhiro Kuwae; Kouhei Matsuura

  Springer Proceedings in Mathematics & Statistics, 2022, Peer-reviewed

  
• Tightness of the solutions to approximating equations of the stochastic quantization equation associated with the weighted exponential quantum field model on the two-dimensional torus

  Masato Hoshino; Hiroshi Kawabi; Seiichiro Kusuoka

  Stochastic Analysis, Random Fields and Integrable Probability — Fukuoka 2019, 01 Jan. 2021

  
• An improvement of the integrability of the state space of the Φ43-process and the support of the Φ43-measure constructed by the limit of stationary processes of approximating stochastic quantization equations

  Kusuoka Seiichiro

  Jan. 2023, Peer-reviewed, Lead author

  
• Stochastic quantization associated with the $$\exp (\Phi )_2$$-quantum field model driven by space-time white noise on the torus in the full $$L^1$$-regime

  Masato Hoshino; Hiroshi Kawabi; Seiichiro Kusuoka

  Probability Theory and Related Fields, 13 May 2022

  
• Stochastic quantization associated with the exp (Φ) 2 -quantum field model driven by space-time white noise on the torus

  Masato Hoshino; Hiroshi Kawabi; Seiichiro Kusuoka

  Journal of Evolution Equations, Mar. 2021, Peer-reviewed

  Access this paper :

  
• The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model

  Seiichiro Kusuoka

  ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA - CLASSE DI SCIENZE, Dec. 2020, Peer-reviewed

  
• Recurrence of direct products of diffusion processes in random media having zero potentials

  Daehong Kim; Seiichiro Kusuoka

  Electronic Journal of Probability, 2020, Peer-reviewed

  
• Empirical evaluated SDE modelling for dimensionality-reduced systems and its predictability estimates

  Naoto Nakano; Masaru Inatsu; Seiichiro Kusuoka; Yoshitaka Saiki

  Japan Journal of Industrial and Applied Mathematics, 01 Jul. 2018, Peer-reviewed

  
• Characterization of the convergence in total variation and extension of the Fourth Moment Theorem to invariant measures of diffusions

  Seiichiro Kusuoka; Ciprian A. Tudor

  Bernoulli, May 2018, Peer-reviewed

  
• The rates of the L^p-convergence of the Euler-Maruyama and Wong-Zakai approximations of path-dependent stochastic differential equations under the Lipschitz condition

  Shigeki Aida; Takanori Kikuchi; Seiichiro Kusuoka

  Tohoku Mathematical Journal, Mar. 2018, Peer-reviewed

  
• Hölder and Lipschitz continuity of the solutions to parabolic equations of the non-divergence type

  Seiichiro Kusuoka

  Journal of Evolution Equations, 01 Sep. 2017, Peer-reviewed

  
• Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation

  Seiichiro Kusuoka

  Stochastic Processes and their Applications, 01 Feb. 2017, Peer-reviewed

  
• Recurrence and transience properties of multi-dimensional diffusion processes in selfsimilar and semi-selfsimilar random environments

  Seiichiro Kusuoka; Hiroshi Takahashi; Yozo Tamura

  Electronic Communications in Probability, 2017, Peer-reviewed

  
• Topics on multi-dimensional Brox's diffusions

  Seiichiro Kusuoka

  Stochastic analysis on large scale interacting systems, 2016, Peer-reviewed

  
• Recurrence of the Brownian Motion in Multidimensional Semi-selfsimilar Environments and Gaussian Environments

  Seiichiro Kusuoka; Hiroshi Takahashi; Yozo Tamura

  Potential Analysis, 01 Nov. 2015, Peer-reviewed

  
• Predictability of wintertime stratospheric circulation examined using a nonstationary fluctuation-dissipation relation

  Masaru Inatsu; Naoto Nakano; Seiichiro Kusuoka; Hitoshi Mukougawa

  Journal of the Atmospheric Sciences, 2015, Peer-reviewed

  
• Hölder continuity and bounds for fundamental solutions to nondivergence form parabolic equations

  Seiichiro Kusuoka

  Analysis and PDE, 2015, Peer-reviewed

  
• On smoothing properties of transition semigroups associated to a class of SDEs with jumps

  Seiichiro Kusuoka; Carlo Marinelli

  Annales de l'institut Henri Poincare (B) Probability and Statistics, 01 Nov. 2014, Peer-reviewed

  
• Exponential convergence of Markovian semigroups and their spectra on L ^p-spaces

  Seiichiro Kusuoka; Ichiro Shigekawa

  Kyoto Journal of Mathematics, 01 Jun. 2014, Peer-reviewed

  
• Stein's method for invariant measures of diffusions via Malliavin calculus

  Seiichiro Kusuoka; Ciprian A. Tudor

  Stochastic Processes and their Applications, Apr. 2012, Peer-reviewed

  
• Diffusion processes in thin tubes and their limits on graphs

  Sergio Albeverio; Seiichiro Kusuoka

  Annals of Probability, 2012, Peer-reviewed

  
• Stochastic ranking process with space-time dependent intensities

  Tetsuya Hattori; Seiichiro Kusuoka

  Alea, 2012, Peer-reviewed

  
• Malliavin calculus for stochastic differential equations driven by subordinated Brownian motions

  Seiichiro Kusuoka

  Kyoto Journal of Mathematics, Sep. 2010, Peer-reviewed

  
• Existence of densities of solutions of stochastic differential equations by Malliavin calculus

  Seiichiro Kusuoka

  Journal of Functional Analysis, 01 Feb. 2010, Peer-reviewed

  

Misc.

• A REGULARITY STRUCTURE FOR THE QUASILINEAR GENERALIZED KPZ EQUATION: 確率論シンポジウム

  Apr. 2023

  
• 確率偏微分方程式を用いたΦ4/3-measureの構成

  楠岡 誠一郎

  数理解析研究所講究録, Jun. 2021

  
• exp(Φ)₂-量子場モデルの確率過程量子化と関連する話題(1)

  ホシノ マサト; カワビ ヒロシ; クスオカ セイイチロウ

  数理解析研究所講究録, Apr. 2021

  
• 回転不変なΦ₃⁴測度とその流れの構成

  Kusuoka, Seiichiro

  RIMS Kokyuroku, Apr. 2021

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• Topics on multi-dimensional Brox's diffusions (Stochastic Analysis on Large Scale Interacting Systems)

  Kusuoka Seiichiro; Takahashi Hiroshi; Tamura Yozo

  数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu, Jul. 2016

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• Recurrence and transience properties of multi-dimensional diffusion processes in selfsimilar and semi-selfsimilar random environments (Symposium on Probability Theory)

  Kusuoka Seiichiro; Takahashi Hiroshi; Tamura Kozo

  RIMS Kokyuroku, Jun. 2015

  Access this misc :

  
• P337 確率微分方程式モデルによる時系列予測可能性解析(ポスター・セッション)

  中野 直人; 稲津 將; 楠岡 誠一郎; 斉木 吉隆

  大会講演予講集, 2015

  
• 時系列データに対する確率微分方程式モデルの統計的係数決定公式と軌道の予測可能性について (偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析)

  中野 直人; 稲津 將; 楠岡 誠一郎; 齊木 吉隆

  数理解析研究所講究録, Sep. 2014

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• A163 非定常揺動散逸定理を用いた冬季成層圏循環の予測可能性の解析(気候システムI,口頭発表)

  稲津 將; 中野 直人; 楠岡 誠一郎; 向川 均

  大会講演予講集, 2014

  
• 確率微分方程式を用いた気候モデルについて (偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析)

  中野 直人; 稲津 將; 向川 均; 楠岡 誠一郎

  数理解析研究所講究録, Jan. 2013

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Presentations

• Constructive quantum field theory and stochastic quantization

  Seiichiro Kusuoka

  China-Japan-Korea Joint Probability Workshop, 09 May 2025

  
• Berry-Esseen bounds for large-time asymptotics of one-dimensional diffusion processes via Malliavin-Stein method

  楠岡誠一郎

  日本数学会年会, 18 Mar. 2025

  
• Berry-Esseen bounds for large-time asymptotics of one-dimensional diffusion processes via Malliavin-Stein method

  楠岡誠一郎

  確率解析とその周辺, 03 Dec. 2024

  
• Three-dimensional polymer measure with selfinteractions and the stochastic quantization

  Seiichiro Kusuoka

  Recent Developments in Dirichlet Form Theory and Related Fields, 20 Sep. 2024, Invited

  
• Construction of the three-dimensional polymer measure with self-interactions and associated Dirichlet form by smoothing approximation

  Seiichiro Kusuoka

  New developments and challenges in Stochastic Partial Differential Equations, 13 Aug. 2024, Invited

  
• 構成的場の理論と確率量子化

  楠岡誠一郎

  多分野交流会, 11 Mar. 2024, Invited

  
• 構成的場の理論と確率量子化

  楠岡誠一郎

  11 Mar. 2024, Invited

  
• Construction of a non-Gaussian and rotation-invariant Φ4 -measure and associated flow on R3 through stochastic quantization

  Seiichiro Kusuoka

  02 Oct. 2023, Invited

  
• The three-dimensional polymer measure with self-interactions and the stochastic quantization

  Seiichiro Kusuoka

  Stochastic Processes and Related Fields, 07 Sep. 2023, Invited

  
• The three-dimensional polymer measure with selfinteractions and the stochastic quantization

  Seiichiro Kusuoka

  Summer School on Stochastic Analysis, École polytechnique fédérale de Lausanne, 10 Aug. 2023, Invited

  
• Construction of a non-Gaussian and rotation-invariant Φ^4-measure and associated flow on R^3 through stochastic quantization

  Seiichiro Kusuoka

  2023 Spring Probability Workshop, 05 May 2023, Invited

  
• Φ43-quantum field theory and a construction of a nontrivial and rotation invariant Φ43-measure

  Seiichiro Kusuoka

  Rigorous Statistical Mechanics and Related Topics, 18 Nov. 2022

  
• Construction of a non-Gaussian and rotation-invariant Φ4-measure and associated flow on R3 through stochastic quantization

  Seiichiro Kusuoka

  Open Japanese-German conference on stochastic analysis and applications, 19 Sep. 2022, Invited

  
• Construction of a non-Gaussian and rotation-invariant Φ4-measure and associated flow on R3 through stochastic quantization

  Seiichiro Kusuoka

  Geometry, Stochastics & Dynamics -Celebrating 20 years of UK-Japan Winter Schools-, 15 Sep. 2022, Invited

  
• Stochastic quantization associated with the exp(Φ)2-quantum field model

  Seiichiro Kusuoka

  Probability and Analysis on Random Structures and Related Topics, 08 Aug. 2022, Invited

  
• 特異確率編微分方程式に由来する確率微分方程式の問題

  楠岡誠一郎

  岡山確率解析ワークショップ2022, 22 Feb. 2022, Invited

  
• Construction of a non-Gaussian and rotation-invariant Φ4 measure and associated flow on R3 through stochastic quantization

  Seiichiro Kusuoka

  XIV SummerWorkshop in Mathematics, Universidade de Brasilia(オンライン開催), 21 Jan. 2022, Invited

  
• Construction of a non-Gaussian and rotation-invariant \Phi^4-measure and associated flow on R^3 through stochastic quantization

  Seiichiro Kusuoka

  Webinar on stochastic analysis, 北京理工大学(オンライン開催), 09 Jun. 2021, Invited

  
• 回転不変な$\Phi ^4_3$測度とその流れの構成

  楠岡誠一郎

  確率論シンポジウム, 24 Dec. 2020

  
• Stochastic quantization associated with the $\exp(\Phi )_2$-quantum field model driven by space-time white noise on the torus in the full $L^1$-regime

  楠岡誠一郎

  確率解析とその周辺, 25 Nov. 2020

  
• ユークリッド空間での作用不変な$\Phi ^4_3$測度とその流れ

  楠岡誠一郎

  東北大学理学研究科数学専攻談話会, 12 Oct. 2020

  
• Invariant measure and flow associated to the Phi4-quantum field model on the three-dimensional torus

  Seiichiro Kusuoka

  Taiwan Mathematical Society Annual Meeting, 07 Dec. 2019, Invited

  
• Stochastic quantization associated with the $\exp( \Phi )_2$-quantum field model driven by space-time white noise on the torus

  Seiichiro Kusuoka

  Stochastic Analysis and Related Topics 2019, 19 Nov. 2019

  
• Approach to the quantum field with exponential interactions by singular SPDEs

  Seiichiro Kusuoka

  Nonlinear and stochastic partial differential equations, 09 Nov. 2019, Invited

  
• Stochastic quantization associated with the $\exp( \Phi )_2$-quantum field model driven by space-time white noise on the torus

  楠岡 誠一郎

  東京確率論セミナー, 28 Oct. 2019, Invited

  
• Stochastic quantization associated with the $\exp( \Phi )_2$-quantum field model driven by space-time white noise on the torus

  Seiichiro Kusuoka

  名古屋確率論セミナー (名古屋微分方程式セミナーと合同), 21 Oct. 2019, Invited

  
• Approach to the quantum field with exponential interactions by singular SPDEs

  Seiichiro Kusuoka

  Japanese-German Open Conference on Stochastic Analysis 2019, 02 Sep. 2019, Invited

  
• Approach to the Quantum Field with Exponential Interactions by Singular SPDEs

  Seiichiro Kusuoka

  Analysis, Random Fields and Integrable Probability (The 12th Mathematical Society of Japan, Seasonal Institute), 08 Aug. 2019, Invited

  
• Invariant measure and flow associated to the Phi4-quantum field model on the three dimensional torus

  楠岡 誠一郎

  量子場の数理とその周辺 2019, 27 Jun. 2019, Invited

  
• トーラス上の$\Phi ^4_3$量子場モデルの不変測度とその流れ

  京都大学理学研究科数学教室談話会, 28 Nov. 2018

  
• 3次元トーラス上のPhi4量子場モデルの不変測度とその流れ

  九州確率論セミナー, 12 Nov. 2018

  
• Invariant measure and flow associated to the Phi4-quantum field model on the three-dimensional torus

  楠岡 誠一郎

  Quantum field theory, renormalisation and stochastic partial differential equations, 23 Oct. 2018, Invited

  
• 3次元トーラス上のPhi4量子場モデルの不変測度とその流れ

  大阪大学確率論セミナー, 09 Oct. 2018

  
• The invariant measure and flow associated to the Phi4-quantum field model on the three-dimensional torus

  楠岡 誠一郎

  Gaussian Free Fields and Related Topics, 20 Sep. 2018, Invited

  
• The invariant measure and flow associated to the Phi4-quantum field model on the three-dimensional torus

  楠岡 誠一郎

  9th International Conference on Stochastic Analysis and its Applications, 07 Sep. 2018, Invited

  
• The invariant measure and flow associated to the Phi4-quantum field model on the three-dimensional torus

  楠岡 誠一郎

  Regularity Structures and Stochastic Systems, 11 Jul. 2018, Invited

  
• Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation

  楠岡 誠一郎

  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 09 Jul. 2018, Invited

  
• 3次元トーラス上のPhi4 量子場モデルの不変測度とその流れ

  楠岡 誠一郎

  慶應確率論ワークショップ, 22 Mar. 2018

  
• 3次元トーラス上のΦ4量子場モデルの不変測度とその流れ

  楠岡 誠一郎

  Saga Workshop on Partial Differential Equations, 05 Mar. 2018, Invited

  
• The invariant measure and flow associated to the $\Phi ^4_3$-quantum field model

  楠岡 誠一郎

  確率論シンポジウム, 13 Dec. 2017

  
• The invariant measure and ow associated to the Phi4-quantum field model on the three-dimensional torus

  異分野基礎科学研究所(RIIS) 第2回研究報告会, 24 Nov. 2017

  
• The invariant measure and flow associated to the $\Phi ^4_3$-quantum field model

  楠岡 誠一郎

  確率解析とその周辺, 17 Oct. 2017

  
• The invariant measure and the flow associated to the $\Phi ^4_3$-quantum field model

  楠岡 誠一郎

  第13回非線型の諸問題, 20 Sep. 2017, Invited

  
• The invariant measure and the flow associated to the $\Phi ^4_3$-quantum field model

  楠岡 誠一郎

  Japanese-German Open Conference on Stochastic Analysis 2017, 05 Sep. 2017, Invited

  
• Recurrence of the Brownian motion in multidimensional semi-selfsimilar random environments

  楠岡 誠一郎

  Workshop on Jump Processes and Stochastic Analysis, 01 Sep. 2017, Invited

  
• Characterization of the convergence in total variation by Stein’s method and Malliavin calculus

  楠岡 誠一郎

  Stochastic Analysis and Statistics 4, 31 Oct. 2016, Invited

  
• Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation

  数理ファイナンスセミナー, 13 Oct. 2016

  
• Stein's equations for invariant measures of diffusions processes and their applications via Malliavin calculus

  楠岡 誠一郎

  Stochastic Analysis and Statistics 2, 06 Aug. 2016, Invited

  
• Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation

  楠岡 誠一郎

  福岡大学確率論研究集会, 04 Aug. 2016

  
• Equivalence between the convergence in total variation and that of the Stein factor to the invariant measures of diffusion processes

  東北確率論セミナー, 15 Jul. 2016

  
• A stochastic approach to the Hölder and Lipschitz continuity of the solutions to nondivergence form parabolic equations

  楠岡 誠一郎

  保存則をもつ偏微分方程式に対する解の正則性，特異性および長時間挙動の研究, 07 Jun. 2016, Invited

  
• Equivalence between the convergence in total variation and that of the Stein factor to the invariant measures of diffusion processes

  楠岡 誠一郎

  Stochastic Analysis and Statistics 1, 22 Apr. 2016, Invited

  
• Recurrence of the Brownian motion in multidimensional semi-selfsimilar environments and Gaussian environments

  Okayama Spring Seminar on Stochastic Analysis, 31 Mar. 2016

  
• 確率解析を用いた非発散放物型方程式の解と基本解へのアプローチ

  楠岡 誠一郎

  日本数学会2016年度年会, 16 Mar. 2016, Invited

  
• マルコフ型確率微分方程式の経路依存型ドリフト項による摂動

  広島・岡山解析確率論セミナー, 22 Feb. 2016

  
• Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation

  楠岡 誠一郎

  新潟確率論ワークショップ, 22 Jan. 2016, Invited

  
• The rates of the $L^p$-convergence of the Euler-Maruyama and the Wong-Zakai approximations of path-dependent stochastic differential equations under the Lipschitz condition

  楠岡 誠一郎

  確率解析とその周辺, 21 Oct. 2015

  
• Continuity and bounds of the transition density functions of the solutions to path-dependent stochastic differential equations

  楠岡 誠一郎

  German-Japanese conference on Stochastic Analysis and Applications, 04 Sep. 2015

  
• Continuity and bounds of the transition density functions of the solutions to path-dependent stochastic differential equations

  楠岡 誠一郎

  International Conference on Stochastic Analysis and Related Topics, 05 Aug. 2015, Invited

  
• Continuity and bounds of the transition density functions of the solutions to path-dependent stochastic differential equations

  楠岡 誠一郎

  New Trends in Stochastic Analysis, 06 Jul. 2015, Invited

  
• 非発散型放物型方程式の解と基本解のヘルダー連続性とガウス型評価について

  関西確率論セミナー, 27 Mar. 2015

  
• Hölder and Lipschitz continuity of the solutions to parabolic equations of non-divergence type

  EPFL seminar, 17 Feb. 2015

  
• Hölder and Lipschitz continuity of the solutions to parabolic equations of non-divergence type

  楠岡 誠一郎

  偏微分方程式に付随する確率論的問題, 18 Sep. 2014

  
• Hölder and Lipschitz continuity of the solutions to parabolic equations of non-divergence type

  楠岡 誠一郎

  UK-Japan Stochastic Analysis School, 01 Sep. 2014, Invited

  
• Hölder and Lipschitz continuity of the solutions to parabolic equations of non-divergence type

  楠岡 誠一郎

  Stochastic Processes, Analysis and Mathematical Physics, 28 Aug. 2014, Invited

  
• Hölder and Lipschitz continuity of the solutions to parabolic equations of non-divergence type

  楠岡 誠一郎

  7th International Conference on Stochastic Analysis and its Applications, 11 Aug. 2014, Invited

  
• ピン止め拡散過程と滑らかさの悪い係数を持つ放物型方程式の基本解のヘルダー連続性

  平成26年度第10回SMARTセミナー, 13 Jun. 2014

  
• ピン止め拡散過程と滑らかさの悪い係数を持つ放物型方程式の基本解のヘルダー連続性

  第三回数理ファイナンス合宿型セミナー, 24 Jan. 2014

  
• Hölder continuity of the fundamental solutions to parabolic equations with irregular coeffcients

  関西確率論セミナー, 17 Jan. 2014

  
• ピン止め拡散過程と滑らかさの悪い係数を持つ放物型方程式の基本解のヘルダー連続性

  確率解析とその周辺, 20 Sep. 2013

  
• Pinned diffusion processes and H?lder continuity of the fundamental solutions to parabolic equations with irregular coeffcients

  German-Japanese Meeting on Stochastic Analysis, 09 Sep. 2013

  
• Exponential convergence of Markovian semigroups and their spectra on $L^p$-spaces

  The 2nd Workshop on Universality and Scaling Limits in Probability and Statistical Mechanics 2013, 05 Aug. 2013

  
• Diffusion Processes in Thin Tubes and their Limits on Graphs

  Quantum Walks and Dynamics on Metric Graphs, 27 Jun. 2013

  
• 不連続ドリフト項付き熱方程式の基本解のHölder 連続性

  慶應確率論ワークショップ, 2013

  
• Exponential convergence of Markovian semigroups and their spectra on L^p-spaces

  The 2nd Workshopon Universality and Scaling Limits in Probability and Statistical Mechanics 2013, 2013

  
• Pinned diffusion processes and Hölder continuity of the fundamental solutions to parabolic equations

  German-Japanese Meeting on Stochastic Analysis, 2013

  
• Survey on the fourth moment theorem, Stein’s method and related topics

  確率解析とその周辺, 24 Oct. 2012

  
• Exponential convergence of Markovian semigroups and their spectra on L^p-spaces

  Stochastic Analysis and Applications, 2012

  
• Diffusion Processes in Thin Tubes and their Limits on Graphs

  5th International Conference on Stochastic Analysis and its Applications, 05 Sep. 2011

  

Awards

• 12 Sep. 2017

  日本数学会, 日本数学会賞建部賢弘賞（特別賞）

External funds: Kakenhi

• Equations with renormalization and stochastic analysis

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  楠岡 誠一郎

  From 01 Apr. 2021, To 31 Mar. 2026, Granted

  特異確率偏微分方程式;確率微分方程式;確率量子場モデル;マリアヴァン解析;ディリクレ形式;構成的場の理論;確率量子化;マルコフ過程;ラフパス理論;確率偏微分方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H00988/
• Stochastic Analysis on Infinite Dimensional Spaces from a Geometric View

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12010:Basic analysis-related

  Keio University

  Hiroshi KAWABI

  From 01 Apr. 2020, To 31 Mar. 2024, Project Closed

  確率論;確率解析;確率偏微分方程式;ラフパス理論;離散幾何解析;大域解析学;マリアヴァン解析;ディリクレ形式;Dirichlet形式;大域解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K03639/
• Stochastic analysis based on Dirichlet forms: Elucidating spatial structure and singularities

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  Masanori Hino

  From 01 Apr. 2019, To 31 Mar. 2024, Project Closed

  確率解析;ディリクレ形式;マルコフ過程;フラクタル;無限次元空間;測度距離空間;ラフパス;マリアバン解析;マルコフ課程;確率量子化方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H00643/
• Combination of stochastic differential equations and other theories

  Grant-in-Aid for Young Scientists (B)

  Kyoto University;Okayama University

  Seiichiro Kusuoka

  From 01 Apr. 2017, To 31 Mar. 2021, Project Closed

  確率微分方程式;確率解析;確率偏微分方程式;ディリクレ形式;確率量子場モデル;マリアヴァン解析;マルコフ過程;解析半群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K14204/
• Research on differential operators on infinite dimensional spaces via stochastic analysis

  Grant-in-Aid for Scientific Research (C)

  Keio University;Okayama University

  Hiroshi Kawabi

  From 01 Apr. 2017, To 31 Mar. 2022, Project Closed

  確率論;確率解析;確率偏微分方程式;ラフパス理論;離散幾何解析;マリアヴァン解析;Dirichlet形式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K05300/
• Stochastic analysis of Markov processes by Dirichlet forms and its applications

  Grant-in-Aid for Scientific Research (A)

  Tohoku University

  Masayoshi Takeda

  From 01 Apr. 2014, To 31 Mar. 2018, Project Closed

  対称マルコフ過程;ディリクレ形式;測度空間上の確率解析;準定常分布;エルゴード定理;測度距離空間上の幾何解析;特異空間上の拡散過程;無限次元確率解析;測度距離空間;無限次元空間上の確率解析;飛躍型マルコフ過程;ラフパス解析;マルコフ過程;幾何解析;フラクタル;測度距離空間上の解析;ファインマン・カッツの公式;特異空間上の幾何解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26247008/
• Novel development on stochastic differential equations and Malliavin calculus

  Grant-in-Aid for Young Scientists (B)

  Okayama University;Tohoku University

  Seiichiro Kusuoka

  From 01 Apr. 2013, To 31 Mar. 2017, Project Closed

  確率微分方程式;マリアヴァン解析;推移確率密度関数;放物型偏微分方程式;基本解;ヘルダー連続性;ランダム環境;シュタインの手法;確率量子場モデル;解析半群;ディリクレ形式;強フェラー性;経路依存型確率微分方程式;密度関数;摂動;カップリングの手法

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25800054/
• Stochastic Processes and Stochastic Analysis on Disordered Media

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Waseda University

  熊谷 隆

  From 01 Apr. 2022, To 31 Mar. 2027, Granted

  確率論;複雑系;数理物理;解析学;ポテンシャル論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22H00099/
• 幾何解析の視点を融合した無限次元空間上の確率解析の新展開

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12010:Basic analysis-related

  Keio University

  河備 浩司

  From 01 Apr. 2023, To 31 Mar. 2026, Granted

  確率論;確率解析;確率偏微分方程式;大域解析学;離散幾何解析;マリアヴァン解析;Dirichlet形式;幾何解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K03155/
• Equations with renormalization and stochastic analysis

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  楠岡 誠一郎

  From 01 Apr. 2024, To 31 Mar. 2026, Granted

  特異確率偏微分方程式;確率微分方程式;確率量子場モデル;マリアヴァン解析;ディリクレ形式;構成的場の理論;確率量子化;マルコフ過程;ラフパス理論;確率偏微分方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20801/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Elementary Probability

  N131, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2025, To 31 Mar. 2026

  Special Lecture on Mathematics 3

  7164, Year-long, Faculty of Science, 1
• From 01 Apr. 2025, To 31 Mar. 2026

  Analysis I

  3144, Spring, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Probability Theory C

  0546, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Probability Theory B

  0545, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Probability Theory A

  0544, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Probability Theory D

  0547, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Mathematical Statistics

  N803, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Graduate Lecture in Probability Theory

  0405, Spring, Graduate School of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Probability Theory

  4107, Spring, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Probability Theory C

  0546, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Probability Theory B

  0545, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Probability Theory A

  0544, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Probability Theory D

  0547, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Probability Theory a

  0446, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Probability Theory d

  0449, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Probability Theory c

  0448, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Probability Theory b

  0447, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Elementary Probability

  N131, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Probability Theory D

  0547, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Probability Theory C

  0546, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Probability Theory B

  0545, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Probability Theory A

  0544, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Probability Theory d

  0449, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Probability Theory B

  0545, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Probability Theory A

  0544, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Probability Theory b

  0447, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Probability Theory c

  0448, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Probability Theory a

  0446, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Mathematical Statistics

  N803, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Analysis I

  3144, Spring, Faculty of Science, 4
• From Apr. 2020, To Mar. 2021

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Seminar on Probability Theory a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Probability Theory b

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Probability Theory c

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Probability Theory d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Analysis a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Analysis b

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Exercises in Analysis I

  Spring, 理学部
• From 01 Apr. 2019, To 31 Mar. 2020

  解析学Ⅰ

  Spring, 理学部, 4
• From 01 Apr. 2019, To 31 Mar. 2020

  数学講究

  Year-long, 理学部, 20
• From 01 Apr. 2019, To 31 Mar. 2020

  確率論基礎

  Spring, 全学共通科目, 2
• From 01 Apr. 2019, To 31 Mar. 2020

  数理統計

  Fall, 全学共通科目, 2
• From Apr. 2021, To Mar. 2022

  Seminar on Probability Theory a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Probability Theory b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Probability Theory c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Probability Theory d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Analysis c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Analysis d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Special Lecture on Mathematics 4

  Year-long, 理学部
• From Apr. 2021, To Mar. 2022

  Elementary Probability

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Linear Algebra with Exercises B

  Fall, 全学共通科目

Participation in PhD Defense

• Gibbs measures and singular SPDEs

  NAGOJI HIROTATSU, Graduate School of Science, Chief Examiner

  24 Mar. 2025
• Limit theorems for the spatial average of stochastic wave equations

  EBINA MASAHISA, Graduate School of Science, Chief Examiner

  24 Mar. 2025
• Cluster construction and limit properties of renewal Hawkes processes

  LUIS IVAN HERNANDEZ RUIZ, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024

Administration

Faculty management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2026

  理学部・教育委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学部・教育委員会　教務会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科 SACRA広報・社会連携部門委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学研究科社会連携小委員会委員
• From 01 Apr. 2024, To 31 Mar. 2025

  理学研究科社会連携小委員会委員
• From 01 Apr. 2024, To 31 Mar. 2025

  理学部・教育委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科SACRA学際融合部門委員会委員