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Carne--Varopoulos bounds for centered random walks

Pierre Mathieu
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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.

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Pierre Mathieu. 2006-06-30. Carne--Varopoulos bounds for centered random walks. https://doi.org/10.1214/009117906000000052

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