Slow movement of random walk in random environment on a regular tree

Yueyun Hu; Zhan Shi

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Slow movement of random walk in random environment on a regular tree

Yueyun Hu·Zhan Shi

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Abstract

We consider a recurrent random walk in random environment on a regular tree. Under suitable general assumptions upon the distribution of the environment, we show that the walk exhibits an unusual slow movement: the order of magnitude of the walk in the first $n$ steps is $(\log n)^3$.

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Yueyun Hu, Zhan Shi. 2006-08-01. Slow movement of random walk in random environment on a regular tree. https://arxiv.org/abs/math/0608036

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