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Type: Artigo de periódico
Title: On large deviations for the cover time of two-dimensional torus
Author: Comets, F
Gallesco, C
Popov, S
Vachkovskaia, M
Abstract: Let T-n be the cover time of two-dimensional discrete torus Z(n)(2) = Z(2)/nZ(2). We prove that P[T-n <= 4/pi gamma n(2) ln(2) n] = exp(-n(2(1-root gamma)+o(1))) for gamma is an element of (0, 1). One of the main methods used in the proofs is the decoupling of the walker's trace into independent excursions by means of soft local times.
Subject: soft local time
hitting time
simple random walk
Country: EUA
Editor: Univ Washington, Dept Mathematics
Citation: Electronic Journal Of Probability. Univ Washington, Dept Mathematics, v. 18, n. 1, n. 18, 2013.
Rights: aberto
Identifier DOI: 10.1214/EJP.v18-2856
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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