Une étude des processus de feux de forêt selon des modes de renouvellement stationnaires suivant des processus de Poisson. Quatre processus limites sont possibles et parfaitement simulés. ©Electre 2024
We consider the one-dimensional generalized forest fire process : at each site of Z, seeds and matches fall according to i.i.d. stationary renewal processes. When a seed falls on an empty site, a tree grows immediately. When a match falls on an occupied site, a fire starts and destroys immediately the corresponding connected component of occupied sites. Under some quite reasonable assumptions on the renewal processes, we show that when matches become less and less frequent, the process converges, with a correct normalization, to a limit forest fire model. According to the nature of the renewal processes governing seeds, there are four possible limit forest fire models. The four limit processes can be perfectly simulated. This study generalizes consequently previous results of [15] where seeds and matches were assumed to fall according to Poisson processes.
Paru le : 30/10/2013
Thématique : Statistiques
Auteur(s) : Auteur : Xavier Bressaud Auteur : Nicolas Fournier
Éditeur(s) :
Société mathématique de France
Collection(s) : Non précisé.
Série(s) : Non précisé.
ISBN : 978-2-85629-765-0
EAN13 : 9782856297650
Reliure : Broché
Pages : 138
Hauteur: 24.0 cm / Largeur 18.0 cm
Épaisseur: 1.0 cm
Poids: 0 g
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