Carne--Varopoulos bounds for centered random walks

Details Carne--Varopoulos bounds for centered random walks Carne--Varopoulos bounds for centered random walks

2005-09-12

arxiv.org/abs/math/0509257v2

Annals of Probability 2006, Vol. 34, No. 3, 987-1011

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117906000000052 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117906000000052

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.

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