Forest Fire Model on $\mathbb{Z}_{+}$ with Delays
Probability
2025-04-01 v2
Abstract
We consider a generalization of the forest fire model on 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.
Cite
@article{arxiv.2411.13419,
title = {Forest Fire Model on $\mathbb{Z}_{+}$ with Delays},
author = {Satyaki Bhattacharya and Stanislav Volkov},
journal= {arXiv preprint arXiv:2411.13419},
year = {2025}
}