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| HAL : hal-00084614, version 1 |
| arXiv : math.PR/0607226 |
| Fiche détaillée |  Récupérer au format |
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| Shape of territories in some competing growth models |
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| Jean-Baptiste Gouéré 1 |
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| (07/07/2006) |
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| 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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| 1 : | Mathématiques et Applications, Physique Mathématique d'Orléans (MAPMO) |
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CNRS : UMR6628 – Université d'Orléans |
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| Domaine | : | Mathématiques/Probabilités |
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| First-passage percolation – competing growth model |
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| hal-00084614, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00084614 | |
| oai:hal.archives-ouvertes.fr:hal-00084614 | |
| Contributeur : Jean-Baptiste Gouéré | |
| Soumis le : Vendredi 7 Juillet 2006, 19:38:36 | |
| Dernière modification le : Dimanche 9 Juillet 2006, 09:31:06 | |
