A Lower Bound on the Disconnection Time of a Discrete Cylinder

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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. 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.
17 pages, this article appears in the volume In and Out of Equilibrium 2, V. Sidoravicius and M. E. Vares Editors

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Probability, Mathematical Physics, 60J10; 60K35; 82C41

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http://salesiana.dossiersoluciones.com/handle/123456789/165805

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701414
 http://arxiv.org/abs/math/0701414
 In and Out of Equilibrium 2, Progress in Probability, vol. 60, 211-227, Birkhauser, (2008)

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arXiv