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2026年 5月 29日 (金) 17:00--18:30
発表者：蛯名 真久 氏 (東京科学大学)
会場：東北大学 理学研究科合同Ａ棟 8階 803室 (キャンパスマップのH-02) 

題目：Quantitative local central limit theorems for Poisson U-statistics

概要：Poisson U-statistics are a fundamental class of Poisson functionals, with many examples arising in stochastic geometry. For such functionals, quantitative central limit theorems have been obtained using the Malliavin-Stein method for Poisson functionals. In this talk, I will present partial progress toward quantitative local central limit theorems for Poisson U-statistics and discuss applications to counting functionals arising from random geometric graphs.

2026年 6月 26日 (金) 17:00--18:30
発表者：世良 透 氏 (大阪大学)
会場：東北大学 理学研究科合同Ａ棟 8階 803室 

題目： Large deviation estimates related to arcsine laws for the last visit times 

概要：L\'evy's arcsine law for one-dimensional Brownian motion is a classical result in probability theory. Among various generalizations of the arcsine law, we focus on the Dynkin--Lamperti theorem, which is a distributional limit theorem for the position of a subordinator (i.e., an increasing L\'evy process) just before it exceeds a level $t$, as $t\to0+$ or $t\to\infty$. In this talk we recall the Dynkin--Lamperti theorem and then present related large deviation estimates as our main results. Furthermore we demonstrate that our main results can be applied to the last time the Brownian motion on the Sierpinski gasket visits the starting point. This talk is based on joint work with Takahiro Mori (Kyoto Institute of Technology) and Kei Noba (The University of Osaka). 

2026年 7月 3日 (金) 17:00--18:30
発表者：森 隆大 氏 (京都工芸繊維大学)
会場：東北大学 理学研究科合同Ａ棟 8階 803室 

2026年 7月 10日 (金) 17:00--18:30
発表者：大賀 成朗 氏 (京都大学)
会場：東北大学 理学研究科合同Ａ棟 8階 803室