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Forest fire model on $\mathbb{Z}_+$ with delays

Satyaki Bhattacharya & Stanislav Volkov

Journal of Applied Probability2026https://doi.org/10.1017/jpr.2025.10040article
AJG 2ABDC A
Weight
0.50

Abstract

We consider a generalization of the forest fire model on $\mathbb{Z}_+$ with ignition at zero only, studied by Volkov (2009 ALEA 6, 399–414). Unlike that model, we allow delays in the spread of the fires and the non-zero burning time of individual ‘trees’. We obtain some general properties for this model, which cover, among others, the phenomenon of an ‘infinite fire’, not present in the original model.

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https://doi.org/https://doi.org/10.1017/jpr.2025.10040

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@article{satyaki2026,
  title        = {{Forest fire model on $\mathbb{Z}_+$ with delays}},
  author       = {Satyaki Bhattacharya & Stanislav Volkov},
  journal      = {Journal of Applied Probability},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1017/jpr.2025.10040},
}

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Forest fire model on $\mathbb{Z}_+$ with delays

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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