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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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https://hal.archives-ouvertes.fr/hal-00084614
Contributor : Jean-Baptiste Gouéré <>
Submitted on : Friday, July 7, 2006 - 7:38:36 PM
Last modification on : Monday, February 18, 2019 - 7:52:04 PM
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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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