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May 2006 Carne–Varopoulos bounds for centered random walks
Pierre Mathieu
Ann. Probab. 34(3): 987-1011 (May 2006). DOI: 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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Pierre Mathieu. "Carne–Varopoulos bounds for centered random walks." Ann. Probab. 34 (3) 987 - 1011, May 2006.


Published: May 2006
First available in Project Euclid: 27 June 2006

zbMATH: 1099.60049
MathSciNet: MR2243876
Digital Object Identifier: 10.1214/009117906000000052

Primary: 60J10

Keywords: Carne–Varopoulos bounds , Centered Markov chains , Poisson boundary , Random walks

Rights: Copyright © 2006 Institute of Mathematical Statistics

Vol.34 • No. 3 • May 2006
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