A Lower Bound on the Disconnection Time of a Discrete Cylinder

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dc.creatorDembo, Amir
dc.creatorSznitman, Alain-Sol
dc.date2007-01-15
dc.date2008-07-28
dc.date.accessioned2026-07-07T09:53:01Z
dc.date.available2026-07-07T09:53:01Z
dc.descriptionWe 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. When d is sufficiently large, we are able to substantially improve the lower bounds obtained by the authors in a previous article when d is bigger or equal to 2. We show here that the laws of N^(2d)/T_N are tight.
dc.description17 pages, this article appears in the volume In and Out of Equilibrium 2, V. Sidoravicius and M. E. Vares Editors
dc.identifierhttps://arxiv.org/abs/math/0701414
dc.identifierhttp://arxiv.org/abs/math/0701414
dc.identifierIn and Out of Equilibrium 2, Progress in Probability, vol. 60, 211-227, Birkhauser, (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165805
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60J10; 60K35; 82C41
dc.titleA Lower Bound on the Disconnection Time of a Discrete Cylinder
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