动力系统与分形几何讨论班——Convergence of resistances on generalized Sierpinski carpets

报告人：曹仕平博士（香港中文大学）

报告时间：9月4日下午16:00—17:00

报告地点：海纳苑2幢205室

摘要：Brownian motions on generalized Sierpinski carpets were constructed by Barlow and Bass as scaling limits of constant time-changed reflected Brownian motions on Euclidean domains approximating the carpet. In this talk, we show that the time scaling can be chosen in the form $\lambda^n$ for some $\lambda>0$. Our proof is based on the Mosco convergence method, and at the same time, we give a positive answer to the open question of Barlow and Bass concerning the convergence of the renormalized effective resistance between opposite faces of the approximation domains.

This is joint work with Zhen-Qing Chen.