Branching random walks on relatively hyperbolic groups
Holder： Wenyuan Yang（Peking University）、Longmin Wang（Nankai University）
Time：2026-03-23 14:00-15:00
Location：Siyuan Lecture Hall，Zhi Hua Building-225
Abstract:
Relatively hyperbolic groups form a broad class of groups in geometric group theory, encompassing hyperbolic groups, free products, and geometrically finite Kleinian groups. They exhibit rich large-scale geometry and admit a natural boundary, introduced by Bowditch, which captures the asymptotic behavior of geodesics and random processes on the group.
In this talk, we discuss branching random walks on a non-elementary relatively hyperbolic group Γ. The model is obtained by combining a symmetric, finitely supported admissible random walk on Γ with an offspring distribution of mean r. When 1
About the Speaker:
杨文元是北京大学数学系的教授，研究方向为几何群论和低维拓扑学。王龙敏，南开大学统计与数据科学学院教授，主要研究方向为群上的概率模型。
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