Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/59224
Type: Artigo de periódico
Title: Percolation for the stable marriage of Poisson and Lebesgue
Author: Freire, MV
Popov, S
Vachkovskaia, A
Abstract: Let Xi be the set of points (we call the elements of Xi centers) of a Poisson process in R-d, d >= 2, with unit intensity. Consider the allocation of R-d to Xi which is stable in the sense of the Gale-Shapley marriage problem and in which each center claims a region of volume alpha <= 1. We prove that there is no percolation in the set of claimed sites if a is small enough, and that, for high dimensions, there is percolation in the set of claimed sites if alpha < 1 is large enough. (c) 2006 Elsevier B.V. All rights reserved.
Subject: multiscale percolation
phase transition
critical appetite
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/j.spa.2006.09.002
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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