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CENTRAL LIMIT THEOREMS FOR A BRANCHING RANDOM WALK WITH A RANDOM ENVIRONMENT IN TIME 被引量：6

CENTRAL LIMIT THEOREMS FOR A BRANCHING RANDOM WALK WITH A RANDOM ENVIRONMENT IN TIME
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摘要 We consider a branching random walk with a random environment m time, in which the offspring distribution of a particle of generation n and the distribution of the displacements of its children depend on an environment indexed by the time n. The envi- ronment is supposed to be independent and identically distributed. For A C R, let Zn（A） be the number of particles of generation n located in A. We show central limit theorems for the counting measure Zn （-） with appropriate normalization. We consider a branching random walk with a random environment m time, in which the offspring distribution of a particle of generation n and the distribution of the displacements of its children depend on an environment indexed by the time n. The envi- ronment is supposed to be independent and identically distributed. For A C R, let Zn（A） be the number of particles of generation n located in A. We show central limit theorems for the counting measure Zn （-） with appropriate normalization.
作者 高志强 刘全升 汪和松
机构地区 Laboratory of Mathematics and Complex Systems Univ. Bretagne-Sud School of Mathematics and Computing Science
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期501-512,共12页 数学物理学报（B辑英文版）
基金 partially supported by the National Natural Science Foundation of China(NSFC,11101039,11171044,11271045) a cooperation program between NSFC and CNRS of France(11311130103) the Fundamental Research Funds for the Central Universities Hunan Provincial Natural Science Foundation of China(11JJ2001)
关键词 Branching random walk random environment in time central limit theorems Branching random walk random environment in time central limit theorems
分类号 O211.4 [理学—概率论与数理统计] O211.62 [理学—概率论与数理统计]
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参考文献18

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Acta Mathematica Scientia
2014年 第2期

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