Carne--Varopoulos bounds for centered random walks
Probability
2007-05-23 v2
Abstract
We extend the Carne--Varopoulos upper bound on the probability transitions of a Markov chain to a certain class of nonreversible processes by introducing the definition of a ``centering measure.'' In the case of random walks on a group, we study the connections between different notions of centering.
Cite
@article{arxiv.math/0509257,
title = {Carne--Varopoulos bounds for centered random walks},
author = {Pierre Mathieu},
journal= {arXiv preprint arXiv:math/0509257},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/009117906000000052 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)