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; CNRS - National Institute for Mathematical Sciences (INSMI); Institut Universitaire de France
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-022-01183-4
• 发表日期: 2023
• 页码: 839-884
• 关键词: invariant-measures; extremal process; equation; CONVERGENCE

摘要

In this work, we characterize all the point processes 0 = ?iEN 8xi on R which N/ are left invariant under branching Brownian motions with critical drift - 2. Our characterization holds under the only assumption that 0 is locally finite and 0CR+) < oo almost surely.