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Subcritical regimes in some models of continuum percolation

Abstract : We consider some continuum percolation models. We are mainly interested in giving some sufficient conditions for absence of percolation. We give some general conditions and then focuse on two examples. The first one is a multiscale percolation model based on the Boolean model. It was introduced by Meester and Roy and subsequently studied by Menshikov, Popov and Vachkovskaia. The second one is based on the stable marriage of Poisson and Lebesgue introduced by Hoffman, Holroyd and Peres and whose percolation properties have been studied by Freire, Popov and Vachkovskaia.
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Contributor : Jean-Baptiste Gouéré <>
Submitted on : Sunday, September 27, 2009 - 9:59:47 AM
Last modification on : Monday, February 18, 2019 - 7:52:04 PM
Long-term archiving on: : Thursday, September 23, 2010 - 5:25:20 PM


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  • HAL Id : hal-00200453, version 3
  • ARXIV : 0712.3638



Jean-Baptiste Gouéré. Subcritical regimes in some models of continuum percolation. Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2009, pp.19(4):1292-1318. ⟨hal-00200453v3⟩



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