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| HAL : hal-00161233, version 1 |
| arXiv : 0707.1395 |
| Fiche détaillée |  Récupérer au format |
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| Continuous first-passage percolation and continuous greedy paths model: linear growth |
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| Jean-Baptiste Gouere 1Regine Marchand 2 |
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| (10/07/2007) |
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| We study a random growth model on $\R^d$ introduced by Deijfen. This is a continuous first-passage percolation model. The growth occurs by means of spherical outbursts with random radii in the infected region. We aim at finding conditions on the distribution of the random radii to determine whether the growth of the process is linear or not. To do so, we compare this model with a continuous analogue of the greedy lattice paths model and transpose results in the lattice setting to the continuous setting. |
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| 1 : | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| 2 : | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
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| Probabilités et statistique |
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| Domaine | : | Mathématiques/Probabilités |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00161233, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00161233 | |
| oai:hal.archives-ouvertes.fr:hal-00161233 | |
| Contributeur : Regine Marchand | |
| Soumis le : Mardi 10 Juillet 2007, 11:39:18 | |
| Dernière modification le : Jeudi 19 Juillet 2007, 09:23:39 | |
