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数苑讲坛2026(二十):Branching random walks on hyperbolic groups

发布日期:2026-07-07 浏览次数:

报告题目:Branching random walks on hyperbolic groups

人:王龙敏教授(南开大学)

报告时间:202678日(周三)下午17001800

报告地点:广东工业大学龙洞校区行政楼607

人:陈智奇


报告摘要:In this talk we consider a transient branching random walk on a non-elementary hyperbolic group and show that the Hausdorff dimension of its limit set (i.e., the accumulation points on the boundary of the group) is determined by the growth rate for the two-point function of the system. As a consequence, the dimension is at most half that of the entire boundary of the group, with equality only on virtually free groups.


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、统计物理模型以及非局部算子位势理论。

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