A comparison principle for random walk on dynamical percolation
Accepted version
Peer-reviewed
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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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Journal Title
The Annals of Probability
Conference Name
Journal ISSN
0091-1798
Volume Title
48
Publisher
Institute of Mathematical Statistics
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All rights reserved
Sponsorship
Engineering and Physical Sciences Research Council (EP/R022615/1)