A near neighbour continuum percolation model

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dc.creatorGillett, A.
dc.creatorNuyens, M.
dc.date2006-11-10
dc.date.accessioned2026-07-07T07:32:45Z
dc.date.available2026-07-07T07:32:45Z
dc.descriptionWe introduce a continuum percolation model defined on the points of a d-dimensional homogeneous Poisson process. Each Poisson point is connected to all points within its connection range, which depends on the distances to the other Poisson points. We show that the new model exhibits a phase transition, and obtain results about the critical values in low and high dimensions.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0611315
dc.identifierhttp://arxiv.org/abs/math/0611315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119222
dc.subjectProbability
dc.subject60K35
dc.titleA near neighbour continuum percolation model
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