Shape of territories in some competing growth models

dc.creatorGouéré, Jean-Baptiste
dc.date2006-07-09
dc.date2007-10-23
dc.date.accessioned2026-07-07T08:38:30Z
dc.date.available2026-07-07T08:38:30Z
dc.descriptionWe study two competing growth models. Each of these models describes the spread of a finite number of infections on a graph. Each infection evolves like an (oriented or unoriented) first passage percolation process except that once a vertex is infected by type $i$ infection, it remains of type $i$ forever. We give results about the shape of the area ultimately infected by the different infections.
dc.descriptionPublished in at http://dx.doi.org/10.1214/105051607000000113 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0607226
dc.identifierhttp://arxiv.org/abs/math/0607226
dc.identifierAnnals of Applied Probability 2007, Vol. 17, No. 4, 1273-1305
dc.identifierdoi:10.1214/105051607000000113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140751
dc.subjectProbability
dc.subject60K35 (82B43) (Primary)
dc.titleShape of territories in some competing growth models
dc.typetext

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