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Corpus ID: 119176778

Age evolution in the mean field forest fire model via multitype branching processes

@article{Crane2018AgeEI,
title={Age evolution in the mean field forest fire model via multitype branching processes},
author={Edward Crane and B. R{\'a}th and D. Yeo},
journal={arXiv: Probability},
year={2018}
}

We study the distribution of ages in the mean field forest fire model introduced by Rath and Toth. This model is an evolving random graph whose dynamics combine Erdős-Renyi edge-addition with a Poisson rain of lightning strikes. All edges in a connected component are deleted when any of its vertices is struck by lightning. We consider the asymptotic regime of lightning rates for which the model displays self-organized criticality. The age of a vertex increases at unit rate, but it is reset to… CONTINUE READING