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19982004
most citedRandom Walk in a Random Environment and First-Passage Percolation on Trees

2 citations · 3 across the 2 of their papers we have counts for

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Showing 1998Show all

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math.PR1998

Percolation Perturbations in Potential Theory and Random Walks

Itai Benjamini, Russell Lyons, Oded Schramm

We show that on a Cayley graph of a nonamenable group, almost surely the infinite clusters of Bernoulli percolation are transient for simple random walk, that simple random walk on…

math.PR1998

A Simple Path to Biggins' Martingale Convergence for Branching Random Walk

Russell Lyons

We give a simple non-analytic proof of Biggins' theorem on martingale convergence for branching random walks.