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In and Out of Equilibrium 2A Lower Bound on the Disconnection Time of a Discrete Cylinder

In and Out of Equilibrium 2: A Lower Bound on the Disconnection Time of a Discrete Cylinder [We study the asymptotic behavior for large N of the disconnection time TN of simple random walk on the discrete cylinder (ℤ/Nℤ)d×ℤ. When d is sufficiently large, we are able to substantially improve the lower bounds on TN previously derived in [3], for d≥2. We show here that the laws of N2d/TN are tight.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

In and Out of Equilibrium 2A Lower Bound on the Disconnection Time of a Discrete Cylinder

Part of the Progress in Probability Book Series (volume 60)
Editors: Sidoravicius, Vladas; Vares, Maria Eulália
Dembo, Amir; Sznitman, Alain-Sol
In and Out of Equilibrium 2 — Jan 1, 2008
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References (20)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2008
ISBN
978-3-7643-8785-3
Pages
211 –227
DOI
10.1007/978-3-7643-8786-0_10
Publisher site
See Chapter on Publisher Site

Abstract

[We study the asymptotic behavior for large N of the disconnection time TN of simple random walk on the discrete cylinder (ℤ/Nℤ)d×ℤ. When d is sufficiently large, we are able to substantially improve the lower bounds on TN previously derived in [3], for d≥2. We show here that the laws of N2d/TN are tight.]

Published: Jan 1, 2008

Keywords: Disconnection time; random walk; discrete cylinders; 60J10; 60K35; 82C41

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