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  • 标题:Branching processes in correlated random environment
  • 本地全文:下载
  • 作者:Xinxin Chen ; Nadine Guillotin-Plantard
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2019
  • 卷号:24
  • DOI:10.1214/19-ECP268
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:We consider the critical branching processes in correlated random environment which is positively associated and study the probability of survival up to the $n$-th generation. Moreover, when the environment is given by fractional Brownian motion, we estimate also the tail of progeny as well as the tail of width.
  • 关键词:branching process; positive association; random walk
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