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

Satyaki Bhattacharya; Stanislav Volkov

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arXiv · 2411.13419

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

Satyaki Bhattacharya·Stanislav Volkov

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Abstract

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.

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Satyaki Bhattacharya, Stanislav Volkov. 2024-11-20. Forest Fire Model on $\mathbb{Z}_{+}$ with Delays. https://arxiv.org/abs/2411.13419

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