京都大学 · 理学部・理学研究科 · 教授

研究关键词Malliavin解析・数学・構成的場の理論・確率偏微分方程式・確率微分方程式・確率解析・確率論

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• 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 equations2023 · 2023年01月
• Tightness of the solutions to approximating equations of the stochastic quantization equation associated with the weighted exponential quantum field model on the two-dimensional torus2019 · Stochastic Analysis, Random Fields and Integrable Probability — Fukuoka 2019,
• Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated ResolventsSpringer Proceedings in Mathematics & Statistics,
• Hölder continuity and bounds for fundamental solutions to nondivergence form parabolic equationsAnalysis and PDE,

• 無限次元空間上の微分作用素の確率解析的研究
• ランダム環境の下での拡散過程の挙動について
• 繰り込みを伴う方程式と確率解析
• 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―

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