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.
Publié le : 2006-05-14
Classification:
Centered Markov chains,
random walks,
Carne–Varopoulos bounds,
Poisson boundary,
60J10
@article{1151418490,
author = {Mathieu, Pierre},
title = {Carne--Varopoulos bounds for centered random walks},
journal = {Ann. Probab.},
volume = {34},
number = {1},
year = {2006},
pages = { 987-1011},
language = {en},
url = {http://dml.mathdoc.fr/item/1151418490}
}
Mathieu, Pierre. Carne–Varopoulos bounds for centered random walks. Ann. Probab., Tome 34 (2006) no. 1, pp. 987-1011. http://gdmltest.u-ga.fr/item/1151418490/