Carne--Varopoulos bounds for centered random walks

Pierre Mathieu

doi:10.1214/009117906000000052

Carne--Varopoulos bounds for centered random walks

概率论 2007-05-23 v2

作者: Pierre Mathieu

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摘要

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.

关键词

random walk in random environment markov chain markov processes

引用

@article{arxiv.math/0509257,
  title  = {Carne--Varopoulos bounds for centered random walks},
  author = {Pierre Mathieu},
  journal= {arXiv preprint arXiv:math/0509257},
  year   = {2007}
}

备注

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)

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