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J-GLOBAL ID：201901019721934010   Update date: Nov. 03, 2024

Kawabi Hiroshi

カワビ ヒロシ | Kawabi Hiroshi
Affiliation and department：
慶應義塾大学 経済学部

About 慶應義塾大学 経済学部


Job title： 教授
Research field  (1)： Basic analysis
Research keywords  (7)： 無限次元解析 ,  Malliavin解析 ,  確率偏微分方程式 ,  離散幾何解析 ,  ラフパス理論 ,  確率解析 ,  確率論
Research theme for competitive and other funds  (17)：
  • 2023 - 2026 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
  • 2021 - 2026 Equations with renormalization and stochastic analysis
  • 2020 - 2023 Stochastic Analysis on Infinite Dimensional Spaces from a Geometric View
  • 2017 - 2022 Research on differential operators on infinite dimensional spaces via stochastic analysis
  • 2014 - 2018 Operator and Spectral Analyses for Differential Operators with Matrix-Coefficient
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Papers (23)：
  • Satoshi Ishiwata, Hiroshi Kawabi. A graph discretized approximation of semigroups for diffusion with drift and killing on a complete Riemannian manifold. Mathematische Annalen. 2024. 390. 2. 2459-2495
  • Sergio Albeverio, Hiroshi Kawabi, Stefan-Radu Mihalache, Michael Röckner. Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5). 2023. 24. 1. 33-69
  • Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka. Stochastic quantization associated with the exp (Φ)_2-quantum field model driven by space-time white noise on the torus in the full L^{1}-regime. Probability Theory and Related Fields. 2022. 185. 1-2. 391-447
  • Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka. 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. Stochastic Analysis, Random Fields and Integrable Probability - Fukuoka 2019. 2021
  • Satoshi Ishiwata, Hiroshi Kawabi, Ryuya Namba. Central limit theorems for non-symmetric random walks on nilpotent covering graphs: Part II. Potential Analysis. 2020. 55. 1. 127-166
ｍore...
MISC (8)：
  • ホシノ マサト, カワビ ヒロシ, クスオカ セイイチロウ. 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). 2021. 2177. 113-122
  • Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka. Stochastic quantization associated with the $\exp(Φ)_2$-quantum field model driven by space-time white noise on the torus in the full $L^1$-regime. 2020
  • Sergio Albeverio, Hiroshi Kawabi, Stefan-Radu Mihalache, Michael Roeckner. Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus. 2020
  • Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka. Stochastic quantization associated with the $\exp(Φ)_2$-quantum field model driven by space-time white noise on the torus. Journal of Evolution Equations. 2019. 21. 1. 339-375
  • Satoshi Ishiwata, Hiroshi Kawabi, Ryuya Namba. Central limit theorems for non-symmetric random walks on nilpotent covering graphs: Part II. 2018
ｍore...
Lectures and oral presentations  (36)：
  • A graph discretized approximation of diffusions with drift and killing on a complete Riemannian manifold
    (Colloquium, Department of Mathematics and System Analysis, Aalto University 2024)
  • Central limit theorems for non-symmetric random walks on nilpotent covering graphs
    (Stochastics Seminar, Aarhus University 2024)
  • A graph discretized approximation of diffusions with drift and killing on a complete Riemannian manifold
    (North-East and Midlands Stochastic Analysis Seminars (NEMSA) 2024)
  • Stochastic quantization associated with the exp(Φ)_{2}-quantum field model driven by space-time white noise
    (Stochastic Analysis Internal Seminar, University of Oxford 2024)
  • A graph discretized approximation of diffusions with drift and killing on a complete Riemannian manifold
    (Stochastic Analysis Internal Seminar, University of Oxford 2024)
ｍore...
Education (4)：
  • 1999 - 2004 The University of Tokyo Graduate School of Mathematical Sciences
  • 1997 - 1999 Tohoku University Graduate School of Information Sciences
  • 1995 - 1997 Keio University
  • 1991 - 1995 Keio University Faculty of Economics
Professional career (3)：
  • 博士(数理科学) (東京大学)
  • 修士(情報科学) (東北大学)
  • 修士(理学) (慶應義塾大学)
Work history (12)：
  • 2018/04 - 現在 Keio University Faculty of Economics
  • 2024/03 - 2025/03 University of Oxford Exeter College Visiting Fellow
  • 2024/03 - 2025/03 University of Oxford Mathematical Institute Academic Visitor
  • 2015/02 - 2018/03 Okayama University The Graduate School of Natural Science and Technology
  • 2007/04 - 2015/01 Okayama University The Graduate School of Natural Science and Technology
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Committee career (8)：
  • 2024/07 - 現在 日本数学会 雑誌 `Advanced Studies in Pure Mathematics (ASPM)' 編集委員
  • 2019/04 - 現在 Mathematical Journal of Okayama University Associate Editor
  • 2022/07 - 2024/06 日本数学会 雑誌`数学' 常任編集委員
  • 2022/04 - 2024/03 日本数学会 統計数学分科会 運営委員 (確率分野)
  • 2017/08 - 2019/07 日本学術振興会 特別研究員等審査会専門委員
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Awards (1)：
  • 2019/07 - 日本学術振興会 平成30年度特別研究員等審査会専門委員(書面担当)表彰
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
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