# Continuous first-passage percolation and continuous greedy paths model: linear growth

Abstract : 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.
Type de document :
Pré-publication, Document de travail
13 pages, two appendices. 2007
Domaine :

https://hal.archives-ouvertes.fr/hal-00161233
Contributeur : Regine Marchand <>
Soumis le : mardi 10 juillet 2007 - 11:39:18
Dernière modification le : jeudi 16 mars 2017 - 01:04:14
Document(s) archivé(s) le : jeudi 8 avril 2010 - 22:48:34

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ppp-D-unbounded.pdf
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### Identifiants

• HAL Id : hal-00161233, version 1
• ARXIV : 0707.1395

### Citation

Jean-Baptiste Gouere, Regine Marchand. Continuous first-passage percolation and continuous greedy paths model: linear growth. 13 pages, two appendices. 2007. <hal-00161233>

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