145 citations · 1.2k across the 85 of their papers we have counts for
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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.PR2005★ 6 cited
Quenched invariance principles for random walks on percolation clusters
P. Mathieu, A. L. Piatnitski
We prove the almost sure ('quenched') invariance principle for a random walker on an infinite Bernoulli percolation cluster in where is larger or equal than 2.