讲座题目:Multifractal analysis for branching random walks on regular trees
主讲人:王龙敏 教授
主持人:徐方军 教授
开始时间:2024-04-25 10:00
讲座地址:腾讯会议 会议号:269-982-682
主办单位:统计学院
报告人简介:
王龙敏,南开大学统计与数据科学学院教授。主要研究群上随机游走、统计物理、非局部算子及位势理论,在 Comm. Pure Appl. Math.,Proc. Amer. Math. Soc.,Bernoulli,Ann. Inst. Henri Poincaré Probab. Stat.,Stochastic Process. Appl.,Electron. J. Probab. 等期刊上发表论文近20篇。
报告内容:
Consider a supercritical branching random walk taking values on a regular tree. We obtain simultaneously the Hausdorff dimensions of the level sets $E(\alpha, \, \beta)$ of infinite branches in the boundary of the tree (endowed with its standard metric) along which the speed of the BRW have limit points belonging to the given interval $[\alpha, \, \beta]$. Based on joint work with Shuwen Lai (NKU) and Heng Ma (PKU).