REINFORCED GALTON-WATSON PROCESSES II: LARGE TIME BEHAVIORS

• 成果类型: Article
• 署名作者: Bertoin, Jean; Mallein, Bastien
• 署名单位: University of Zurich; Universite de Toulouse; Universite Toulouse III - Paul Sabatier
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/24-AAP2144
• 发表日期: 2025
• 页码: 1353-1372
• 关键词: branching-processes

摘要

Reinforced Galton-Watson processes have been introduced in (Ran-dom Structures Algorithms 65 (2024) 387-410) as population models with nonoverlapping generations, such that reproduction events along genealogical lines can be repeated at random. We investigate here some of their sample path properties such as asymptotic growth rates and survival, for which the effects of reinforcement on the evolution appear quite strikingly.