Geodesics in First Passage Percolation

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dc.creatorHoffman, Christopher
dc.date2005-08-05
dc.date2007-11-17
dc.date.accessioned2026-07-07T08:43:28Z
dc.date.available2026-07-07T08:43:28Z
dc.descriptionWe consider a wide class of ergodic first passage percolation processes on Z^2 and prove that there exist at least four one-sided geodesics a.s. We also show that coexistence is possible with positive probability in a four color Richardson's growth model. This improves earlier results of Haggstrom and Pemantle, Garet and Marchand, and Hoffman who proved that first passage percolation has at least two geodesics and that coexistence is possible in a two color Richardson's growth model.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0508114
dc.identifierhttp://arxiv.org/abs/math/0508114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142327
dc.subjectProbability
dc.subject60K35, 82B43
dc.titleGeodesics in First Passage Percolation
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