Percolation for the stable marriage of Poisson and Lebesgue

M.V. Freire, S. Popov and M. Vachkovskaia

Stochastic Processes and their Applications, 2007, vol. 117, issue 4, 514-525

Abstract: Let [Xi] be the set of points (we call the elements of [Xi] centers) of a Poisson process in , d>=2, with unit intensity. Consider the allocation of 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]

Keywords: Multiscale; percolation; Phase; transition; Critical; appetite (search for similar items in EconPapers)
Date: 2007
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