Forest Fire Model on $\mathbb{Z}_{+}$ with Delays

Autor:	Bhattacharya, Satyaki, Volkov, Stanislav
Rok vydání:	2024
Předmět:	Mathematics - Probability 60G55 60K35 60F20
Druh dokumentu:	Working Paper
Popis:	We consider a generalization of the forest fire model on $\mathbb{Z}_+$ with ignition at zero only, studied in [arXiv:0907.1821]. Unlike that model, we allow delays in the spread of the fires as well as the non-zero burning time of individual ``trees''. We obtain some general properties for this model, which cover, among others, the phenomena of an ``infinite fire'', not present in the original model.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.13419 Zobrazit plný text záznamu View this record from Arxiv