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arXiv · 1307.3353

Random Walks in I.I.D. Random Environment on Cayley Trees

Siva Athreya·Antar Bandyopadhyay·Amites Dasgupta
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Abstract

We consider the random walk in an \emph{i.i.d.} random environment on the infinite $d$-regular tree for $d \geq 3$. We consider the tree as a Cayley graph of free product of finitely many copies of $\Zbold$ and $\Zbold_2$ and define the i.i.d. environment as invariant under the action of this group. Under a mild non-degeneracy assumption we show that the walk is always transient.

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Siva Athreya, Antar Bandyopadhyay, Amites Dasgupta. 2014-04-29. Random Walks in I.I.D. Random Environment on Cayley Trees. https://arxiv.org/abs/1307.3353

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