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math.PR2005★ 11 cited
Carne--Varopoulos bounds for centered random walks
Pierre Mathieu
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 ``cent…
math.PR2004★ 6 cited
On symmetric random walks with random conductances on
L. R. G. Fontes, P. Mathieu
We study models of continuous time, symmetric, -valued random walks in random environments. One of our aims is to derive estimates on the decay of transition probabilities in…