学术报告(孔诗磊9.20)

Compact doubling spaces as Martin boundaries

发布人:周妍 发布日期:2019-09-02
主题
Compact doubling spaces as Martin boundaries
活动时间
-
活动地址
数学楼416讲学厅
主讲人
孔诗磊 博士 浙江大学

摘要:

As mentioned in the firrst talk, a compact quasi-metric space K is equivalent to the boundary \partial X of some hyperbolic graph X, and the doubling property of K allows X to have bounded degree. In this talk we introduce a class of transient reversible random walks on X such that their Martin boundaries can be identified with K via \partial X. Using Silverstein's theory of Markov chains, we obtain precise estimates of the Martin kernel and the Naim kernel, and prove that the random walk induces an energy form on K with a Besov-type domain. This is a joint work with Ka-Sing Lau and Ting-Kam Leonard Wong.

 

数学学院

2019年9月2日