91 citations · 455 across the 28 of their papers we have counts for
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math.PR2009★ 23 cited
Upper bound on the disconnection time of discrete cylinders and random interlacements
Alain-Sol Sznitman
We study the asymptotic behavior for large of the disconnection time of a simple random walk on the discrete cylinder , when $…
math.PR2009★ 18 cited
Connectivity Bounds for the Vacant Set of Random Interlacements
Vladas Sidoravicius, Alain-Sol Sznitman
The model of random interlacements on Z^d, d bigger or equal to 3, was recently introduced in arXiv:0704.2560. A non-negative parameter u parametrizes the density of random interla…
math.PR2009
On the Domination of Random Walk on a Discrete Cylinder by Random Interlacements
Alain-Sol Sznitman
We consider simple random walk on a discrete cylinder with base a large d-dimensional torus of side-length N, when d is two or more. We develop a stochastic domination control on t…