DOMAIN OF ATTRACTION OF THE FIXED POINTS OF BRANCHING BROWNIAN MOTION

• 成果类型: Article
• 署名作者: Chen, Xinxin; Garban, Christophe; Shekhar, Atul
• 署名单位: Beijing Normal University; Centre National de la Recherche Scientifique (CNRS); Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Claude Bernard Lyon 1; Universite Jean Monnet
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/24-AAP2093
• 发表日期: 2024
• 页码: 5351-5387
• 关键词: equation

摘要

We give a complete characterization of the domain of attraction of fixed points of branching Brownian motion (BBM) with critical drift. Prior to this classification, we introduce a suitable metric space of locally finite point measures on which we prove 1) that the BBM with critical drift is a well-defined Markov process and 2) that it satisfies the Feller property. Several applications of this characterization are given.