The number of unbounded components in the Poisson Boolean model in hyperbolic space

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dc.creatorTykesson, Johan
dc.date2006-10-05
dc.date2007-11-05
dc.date.accessioned2026-07-07T08:40:19Z
dc.date.available2026-07-07T08:40:19Z
dc.descriptionWe consider the Poisson Boolean continuum percolation model in n-dimensional hyperbolic space. In 2 dimensions we show that there are intensities for the underlying Poisson process for which there are infinitely unbounded components in the covered and vacant regions. In n dimensions we show that if the radius of the balls are big enough, then there are intensities for the underlying Poisson process for which there are infinitely many unbounded components.
dc.description25 pages, reference added, an error in the introduction corrected, typos corrected
dc.identifierhttps://arxiv.org/abs/math/0610202
dc.identifierhttp://arxiv.org/abs/math/0610202
dc.identifierElectronic Journal of Probability 2007, Vol. 12, pp. 1379-1401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141339
dc.subjectProbability
dc.subject60D05
dc.titleThe number of unbounded components in the Poisson Boolean model in hyperbolic space
dc.typetext

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