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Article Dans Une Revue Acta Mathematica Scientia Année : 2014

Central limit theorems for a branching random walk with a random environment in time

Résumé

We consider a branching random walk with a random environment in 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 environment is supposed to be stationary and ergodic. For $A\subset \mathbb{R}$ , let $Z_n(A)$ be the number of particles of generation $n$ located in $A$. We show central limit theorems for the counting measure $Z_n(\cdot)$ with appropriate normalization.
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Dates et versions

hal-00907152 , version 1 (21-11-2013)

Identifiants

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Zhiqiang Gao, Quansheng Liu, Hesong Wang. Central limit theorems for a branching random walk with a random environment in time. Acta Mathematica Scientia, 2014, 34 (2), pp.501-512. ⟨10.1016/S0252-9602(14)60023-0⟩. ⟨hal-00907152⟩
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