Metrics on fractals by symmetric self-similar weight functions
来源：数学科学学院
发布时间：2019-04-11
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题目: Metrics on fractals by symmetric self-similar weight functions
报告人: Dr. Qingsong Gu (顾庆松博士，加拿大纽芬兰纪念大学)
时间: 2019年4月12日（周五）下午2:30-3:30
地点：工商楼200-9
摘要: I will talk about the method (proposed by 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 proved that there
is a critical surface for the weights to give a "geodesic" metric. These metrics are crucial
in describing heat kernel bounds for time-change Brownian motions on these fractals via
symmetric self-similar measures. We also compute the critical surface for two examples,
one is the Lindstrom snowflake and the other is the standard Sierpinski carpet. This is
based on a joint work with Ka-Sing Lau, Hua Qiu and Huo-Jun Ruan.
联系人：阮火军（ruanhj@zju.edu.cn）