报告题目：分形上的度量与次高斯热核估计上的应用（Metrics on fractals and application to sub-Gaussian heat kernel estimates）

报 告 人：顾庆松博士（加拿大纽芬兰纪念大学）

报告时间：2019年7月4日 10:00-11:30

报告地点：数统院307学术报告厅

报告摘要：

I will talk about the method (proposed by Jun Kigami) of defining metrics on two classes of fractals (nested fractals and generalized Sierpinski carpets) by using symmetric self-similar weight functions on its symbolic spaces. We prove that for each such fractal, there is a critical surface for the weights to give a geodesic metric on that fractal. These metrics are crucial in describing heat kernel bounds for time-changed Brownian motions on these fractals via symmetric self-similar measures. We also illustrate our result by explicit examples. This is based on a joint work with Ka-Sing Lau, Hua Qiu and Huo-Jun Ruan.

报告人简介：

顾庆松于清华大学取得博士学位，曾任香港中文大学博士后研究员，现任加拿大纽芬兰大学访问学者。