报告题目：Metrics on fractals with symmetry by self-similar weight functions

报告人：邱华  教授  南京大学

报告摘要：We construct metrics on a large class of self-similar sets with strong symmetry, including the nested fractals and the generalized Sierpinski carpets. The metrics are intrinsic in the sense that the time change Brownian motion via a symmetric self-similar measure admits two sided sub-Gaussian heat kernel estimates. These metrics are quasi-symmetric to the resistance metric for nested fractals or to the Euclidean metric for generalized Sierpinski carpets. We give equivalent condition for a symmetric self-similar weight function to generate a ``geodesic" metric, and  illustrate our result by using several examples including the Lindstr\o m snowflake and the Sierpinski carpet.

报告时间：2018年12月20日(周四)上午8:30-10:30

报告地点：金沙集团wwW3354CC三楼专家接待室