A SIMPLE PATH TO ASYMPTOTICS FOR THE FRONTIER OF A BRANCHING BROWNIAN MOTION

• 成果类型: Article
• 署名作者: Roberts, Matthew I.
• 署名单位: Leibniz Association; Weierstrass Institute for Applied Analysis & Stochastics
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/12-AOP753
• 发表日期: 2013
• 页码: 3518-3541
• 关键词: random-walks; equation; CONVERGENCE

摘要

We give short proofs of two classical results about the position of the extremal particle in a branching Brownian motion, one concerning the median position and another the almost sure behaviour.