## 解析学火曜セミナー

開催情報 火曜日　16:00～17:30　数理科学研究科棟(駒場) 126号室 石毛 和弘, 坂井 秀隆, 伊藤 健一 https://www.ms.u-tokyo.ac.jp/seminar/analysis/

### 2022年07月26日(火)

16:00-17:30   数理科学研究科棟(駒場) 126号室

Periodic homogenization of non-symmetric jump-type processes with drifts (Japanese)
[ 講演概要 ]
Homogenization problem is one of the classical problems in analysis and probability which is very actively studied recently. In this talk, we consider homogenization problem for non-symmetric Lévy-type processes with drifts in periodic media. Under a proper scaling, we show the scaled processes converge weakly to Lévy processes on ${\mathds R}^d$. In particular, we completely characterize the limiting processes when the coefficient function of the drift part is bounded continuous, and the decay rate of the jumping measure is comparable to $r^{-1-\alpha}$ for $r>1$ in the spherical coordinate with $\alpha \in (0,\infty)$. Different scaling limits appear depending on the values of $\alpha$.
This talk is based on joint work with Xin Chen, Zhen-Qing Chen and Jian Wang (Ann. Probab. 2021).
[ 参考URL ]
https://forms.gle/ewZEy1jAXrAhWx1Q8