91 citations · 455 across the 28 of their papers we have counts for
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math.PR2007★ 25 cited
How universal are asymptotics of disconnection times in discrete cylinders?
Alain-Sol Sznitman
We investigate the disconnection time of a simple random walk in a discrete cylinder with a large finite connected base. In a recent article of A. Dembo and the author it was found…
math.PR2007
Vacant Set of Random Interlacements and Percolation
Alain-Sol Sznitman
We introduce a model of random interlacements made of a countable collection of doubly infinite paths on Z^d, d bigger or equal to 3. A non-negative parameter u measures how many t…
math.PR2007
A Lower Bound on the Disconnection Time of a Discrete Cylinder
Amir Dembo, Alain-Sol Sznitman
We study the asymptotic behavior for large N of the disconnection time T_N of simple random walk on a discrete cylinder with base a d-dimensional discrete torus of side-length N. W…