THE MAXIMUM OF BRANCHING BROWNIAN MOTION IN Rd

• 成果类型: Article
• 署名作者: Kim, Yujin H.; Lubetzky, Eyal; Zeitouni, Ofer
• 署名单位: New York University; Weizmann Institute of Science
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/22-AAP1848
• 发表日期: 2023
• 页码: 1315-1368
• 关键词: convergence; equation; LAW

摘要

We show that in branching Brownian motion (BBM) in Rd, d > 2, the law of Rt*, the maximum distance of a particle from the origin at time t, con-verges as t -> oo to the law of a randomly shifted Gumbel random variable.