A. Sznitman

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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 $N$ of the disconnection time $T_{N}$ of a simple random walk on the discrete cylinder $(Z / N Z)^{d} \times Z$ , when $…

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…