学术报告通知

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 tosub-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：7月4 日上午10:00 – 11:30

报告地点：数统院307        

数学与统计学院

        2019.7.3  

报告摘要：I will talk about the method (proposed by Jun Kigami)  of defining metrics on twoclasses of fractals (nested fractals and generalized Sierpinski carpets) byusing symmetric self-similar weight functions on its symbolic spaces. We provethat for each such fractal, there is a critical surface for the weights to givea geodesic metric on that fractal. These metrics are crucial in describing heatkernel bounds for time-changed Brownian motions on these fractals viasymmetricself-similar measures. We also illustrate our result b explicit examples. Thisis 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。