Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks

Elisabeth Bauernschubert

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arXiv · 1301.5450

Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks

Elisabeth Bauernschubert

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Abstract

We establish recurrence and transience criteria for critical branching processes in random environment with immigration. These results are then applied to discuss recurrence and transience of a recurrent random walk in a random environment on Z that will be disturbed by cookies inducing a drift to the right of strength 1.

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Elisabeth Bauernschubert. 2013-01-23. Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks. https://arxiv.org/abs/1301.5450

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