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Critical Random Walk in Random Environment on Trees of Exponential Growth

Robin Pemantle
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Abstract

This paper studies the behavior of RWRE on trees in the critical case left open in previous work. For trees of exponential growth, a random perturbation of the transition probabilities can change a transient random walk into a recurrent one. This is the opposite of what occurs on trees of sub-exponential growth.

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Robin Pemantle. 2004-04-02. Critical Random Walk in Random Environment on Trees of Exponential Growth. https://arxiv.org/abs/math/0404049

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