A shape theorem for epidemics and forest fires with finite range interactions

DOI10.1214/AOP/1176988999zbMath0805.92028OpenAlexW2024515059MaRDI QIDQ1317220

Y. Zhang

Publication date: 24 March 1994

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988999

zbMATH Keywords

shape theoremforest firesupercritical casefinite range interactionsgrowth of the fire

Mathematics Subject Classification ID

Epidemiology (92D30) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Ecology (92D40)

Related Items (5)

Supercritical behaviors in first-passage percolation ⋮ Convergence results for contact branching processes ⋮ Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation ⋮ Application of a nonlinear evolution model to fire propagation ⋮ Asymptotic of the critical value of the large-dimensional SIR epidemic on clusters

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