Biased random walk on critical Galton-Watson trees conditioned to survive

• 成果类型: Article
• 署名作者: Croydon, D. A.; Fribergh, A.; Kumagai, T.
• 署名单位: University of Warwick; New York University; Kyoto University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-012-0462-z
• 发表日期: 2013
• 页码: 453-507
• 关键词: random environment; branching-process; limit

摘要

We consider the biased random walk on a critical Galton-Watson tree conditioned to survive, and confirm that this model with trapping belongs to the same universality class as certain one-dimensional trapping models with slowly-varying tails. Indeed, in each of these two settings, we establish closely-related functional limit theorems involving an extremal process and also demonstrate extremal aging occurs.