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今後のセミナー  Future Seminar

2025. 11. 28. (Fri)  17:00--18:30
Speaker: Khanh Duy Trinh  (Waseda University)
Venue: Science Complex A 803,  Tohoku  University   (東北大学 理学研究科合同Ａ棟 8階 803室 )  (Campus Map H-02)

Title: Beta ensembles in the freezing regime and the finite free convolution

Abstract:
The limiting behavior of the empirical measure process of beta Dyson's Brownian motions has been studied in three different regimes: the random matrix regime where the inverse temperature parameter $\beta$ is fixed, the freezing regime where the system size $N$ is fixed and $\beta$ tends to infinity, and the high temperature regime where $\beta$ is proportional to $1/N$. In the random matrix regime, it is well-known that the limiting measure process is expressed by the free convolution of the initial measure and a semi-circle distribution. In the high temperature regime, an analogous result has been established by using $c$-convolution which is defined via the Markov--Krein transform (Nakano, Trinh and Trinh (J. Math. Phys. (2025)). In this talk, we show that in the freezing regime, a similar thing happens when we consider the finite free convolution. It is based on an ongoing joint work with J. Wang (Waseda University).

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2025年 12月 5日 (金) 17:00--18:30　
発表者：吉田 伸生 氏 (名古屋大学)
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 H-02)

2026年 1月 16日 (金) 17:00--18:30　
発表者：後藤 ゆきみ 氏 (東京大学)
会場：東北大学 理学研究科合同Ａ棟 8階 803室  

2026年 1月 23日 (金) 17:00--18:30　
発表者：河備 浩司  氏 (慶應義塾大学)
会場：東北大学 理学研究科合同Ａ棟 8階 803室