A Percolating Hard Sphere Model

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Given a homogeneous Poisson point process in R^d, Haggstrom and Meester asked whether it is possible to place spheres (of differing radii) centred at the points, in a translation-invariant way, so that the spheres do not overlap but there is an unbounded component of touching spheres. We prove that the answer is yes in sufficiently high dimension.
20 pages, 2 figures

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Probability, 60K35; 60D05; 60G55

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http://salesiana.dossiersoluciones.com/handle/123456789/115126

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607645
 http://arxiv.org/abs/math/0607645

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arXiv