Random walks on regular trees can not be slowed down

Published 1 Feb 2023 in math.PR | (2302.00760v1)

Abstract: A random walk on a regular tree (or any non-amenable graph) has positive speed. We ask whether such a walk can be slowed down by applying carefully chosen time-dependent permutations of the vertices. We prove that on trees the random walk can not be slowed down.

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