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Type: Artigo
Title: The number of open paths in an oriented ρ-percolation model
Author: Comets, Francis
Popov, Serguei
Vachkovskaia, Marina
Abstract: We study the asymptotic properties of the number of open paths of length n in an oriented ρ-percolation model. We show that this number is e nα(ρ)(1+o(1)) as n→∞. The exponent α is deterministic, it can be expressed in terms of the free energy of a polymer model, and it can be explicitly computed in some range of the parameters. Moreover, in a restricted range of the parameters, we even show that the number of such paths is n −1/2 We nα(ρ)(1+o(1)) for some nondegenerate random variable W. We build on connections with the model of directed polymers in random environment, and we use techniques and results developed in this context
Subject: Percolação
Country: Estados Unidos
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s10955-008-9506-2
Date Issue: 2008
Appears in Collections:IMECC - Artigos e Outros Documentos

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