报告题目：Gradient estimates of the heat kernel for random walks in time-dependent random environments
时 间：2024年3月20日（星期三）15：00
地 点：科研楼18号楼1102
主 办：数学与统计学院
参加对象：概率统计系及其他感兴趣的师生
报告摘要：We consider a random walk among time-dependent random conductances. In recent years the long-time behavior of this model under diffusive rescaling has been intensively studied, and it is well understood. In this talk, we will discuss how to obtain first and second space derivatives of the annealed transition density. We use entropy estimates that has been developed in the time-independent setting by Benjamini, Duminil-Copin, Kozma and Yadin (2016).
This is a joint work with J-D. Deuschel (Berlin) and M. Slowik (Mannheim).
报告人简介： Takashi Kumagai studied at Kyoto University, where he defended his PhD thesis in 1994. He is now a professor at Waseda University. His research areas are anomalous diffusions on disordered media such as fractals and random media, and potential theory for jump processes on metric measure spaces. He gave St. Flour 2010 lectures, was a invited speaker at the International Congress of Mathematicians in Seoul 2014 and got the Humboldt Prize in 2017.