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

2006/08/01 by Hu, Yueyun, Shi, Zhan
#60G50 #60J80 #60K37 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.math/0608036

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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