Research keywords (6)：
Stochastic Analysis
, Probability Theory
, Stochastic Differential Equation
, Stochastic Partial Differential Equation
, Malliavin Calculus
, Constructive quantum field theory
Research theme for competitive and other funds (11)：
2022 - 2027 Stochastic Processes and Stochastic Analysis on Disordered Media
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
2019 - 2024 ディリクレ形式に基づく確率解析の研究-空間構造と特異性の解明-
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
2017 - 2021 Combination of stochastic differential equations and other theories
2014 - 2018 Stochastic analysis of Markov processes by Dirichlet forms and its applications
2013 - 2017 Novel development on stochastic differential equations and Malliavin calculus
2011 - 2013 ランダム環境の下での拡散過程の挙動について
2008 - 2011 ある型の多次元確率微分方程式の解の一意性とその挙動について
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Papers (24)：
Kusuoka Seiichiro. 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. 2023. 65. 1. 97-116
Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka. 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. Probability Theory and Related Fields. 2022. 185. 1-2. 391-447
Seiichiro Kusuoka, Kazuhiro Kuwae, Kouhei Matsuura. Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated Resolvents. Springer Proceedings in Mathematics & Statistics. 2022. 279-307
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. 2021. 21. 1. 339-375
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
Kusuoka Seiichiro, Takahashi Hiroshi, Tamura Yozo. Topics on multi-dimensional Brox's diffusions (Stochastic Analysis on Large Scale Interacting Systems). 2016. 59. 31-43
Kusuoka Seiichiro, Takahashi Hiroshi, Tamura Kozo. Recurrence and transience properties of multi-dimensional diffusion processes in selfsimilar and semi-selfsimilar random environments (Symposium on Probability Theory). RIMS Kokyuroku. 2015. 1952. 73-80
Construction of a non-Gaussian and rotation-invariant Φ4 -measure and associated flow on R3 through stochastic quantization
(2023)
The three-dimensional polymer measure with self-interactions and the stochastic quantization
(Stochastic Processes and Related Fields 2023)
The three-dimensional polymer measure with selfinteractions and the stochastic quantization
(Summer School on Stochastic Analysis, École polytechnique fédérale de Lausanne 2023)
