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|Type:||Artigo de periódico|
|Title:||Percolation for the stable marriage of Poisson and Lebesgue|
|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.|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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