Planar lattices do not recover from forest fires

DOI10.1214/14-AOP958zbMath1337.60244arXiv1312.7004OpenAlexW3103732500MaRDI QIDQ5962537

Ioan Manolescu, Vladas Sidoravićius, Demeter Kiss

Publication date: 12 February 2016

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

Full work available at URL: https://arxiv.org/abs/1312.7004

zbMATH Keywords

forest firescritical percolationnear-critical percolationplanar percolationself-destructive percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items

Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters ⋮ Planar random-cluster model: scaling relations ⋮ Self-destructive percolation as a limit of forest-fire models on regular rooted trees ⋮ Some toy models of self-organized criticality in percolation ⋮ Generalizations of forest fires with ignition at the origin ⋮ Transitions for exceptional times in dynamical first-passage percolation ⋮ Feller property of the multiplicative coalescent with linear deletion ⋮ Superlinearity of Geodesic Length in 2D Critical First-Passage Percolation ⋮ Age evolution in the mean field forest fire model via multitype branching processes ⋮ Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation ⋮ Planar random-cluster model: fractal properties of the critical phase ⋮ Frozen percolation on the binary tree is nonendogenous

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