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A comparison principle for random walk on dynamical percolation

Accepted version
Peer-reviewed

Type

Article

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Authors

Hermon, Jonathan 
Sousi, Perla 

Abstract

We consider the model of random walk on dynamical percolation introduced by Peres, Stauffer and Steif (2015). We obtain comparison results for this model for hitting and mixing times and for the spectral-gap and log-Sobolev constant with the corresponding quantities for simple random walk on the underlying graph G, for general graphs. When G is the torus ℤdn, we recover the results of Peres et al. and we also extend them to the critical case. We also obtain bounds in the cases where G is a transitive graph of moderate growth and also when it is the hypercube.

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Keywords

Journal Title

The Annals of Probability

Conference Name

Journal ISSN

0091-1798

Volume Title

48

Publisher

Institute of Mathematical Statistics

Rights

All rights reserved
Sponsorship
Engineering and Physical Sciences Research Council (EP/R022615/1)