Shape of territories in some competing growth models

Abstract : We 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.
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Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2007, pp.doi:10.1214/105051607000000113
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https://hal.archives-ouvertes.fr/hal-00084614
Contributeur : Jean-Baptiste Gouéré <>
Soumis le : vendredi 7 juillet 2006 - 19:38:36
Dernière modification le : jeudi 16 avril 2015 - 01:03:31
Document(s) archivé(s) le : lundi 5 avril 2010 - 23:56:37

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Jean-Baptiste Gouéré. Shape of territories in some competing growth models. Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2007, pp.doi:10.1214/105051607000000113. <hal-00084614>

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