Limit theorems for decomposable branching processes in a random environment

Vladimir Vatutin; Quansheng Liu

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arXiv · 1403.0746

Limit theorems for decomposable branching processes in a random environment

Vladimir Vatutin·Quansheng Liu

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Abstract

We study the asymptotics of the survival probability for the critical and decomposable branching processes in random environment and prove Yaglom type limit theorems for these processes. It is shown that such processes possess some properties having no analogues for the decomposable branching processes in constant environment

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Vladimir Vatutin, Quansheng Liu. 2014-03-04. Limit theorems for decomposable branching processes in a random environment. https://arxiv.org/abs/1403.0746

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