Brownian motions and Dirichlet forms on Sierpinski carpet like fractals
Holder： Hua Qiu（Nanjing University）
Time：2025-12-08 14:00-16:30
Location：Siyuan Lecture Hall，Zhi Hua Building-225
Abstract:
The theory of Laplacians on fractals is closely related to Brownian motion (from a probabilistic perspective) and Dirichlet form (from an analytical perspective) theories on fractals. In this talk, I will introduce our recent progress on the analytic construction of Dirichlet forms on unconstrained Sierpinski carpets, which are natural extension of Sierpinski carpets allowing cells to live off grids. This is based on recent joint works with Shiping Cao.
About the Speaker:
邱华，南京大学数学学院教授、博士生导师，主持多项国家自然科学基金项目（含青年项目，重点项目）。研究方向是分形上的几何与分析，主要关注分形以及一般度量测度空间上的Dirichlet型，Laplace算子谱理论与热核估计问题，在PTRF，Adv. Math. ，JFA, ETDS等学术期刊上发表论文40余篇。
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