Critical branching random walks, branching capacity and branching interlacements

Speaker: 朱庆三（南京航空航天大学）

Title: Critical branching random walks, branching capacity and branching interlacements

Inviter: 随机分析研究中心

Time & Venue: 2025 年7月25日15:00–16:00 南楼613

Abstract: We discuss critical branching random walks and introduce new concepts for critical branching random walks: branching capacity and branching interlacements. By introducing these concepts, we obtain analogues of various classical results for random walks, in the setting of critical branching random walks: the exact asymptotics for the visiting probability, the local limit of branching random walks in tori, the cover time of a torus by branching random walks, etc.