Existence of multi-dimensional infinite volume self-organized critical forest-fire models
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Publication:850415
zbMath1109.60081MaRDI QIDQ850415
Publication date: 3 November 2006
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/127184
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)
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Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters ⋮ Self-organized forest-fires near the critical time ⋮ Self-destructive percolation as a limit of forest-fire models on regular rooted trees ⋮ Some toy models of self-organized criticality in percolation ⋮ Burning cars in a parking lot ⋮ Asymptotics of one-dimensional forest fire processes ⋮ Feller property of the multiplicative coalescent with linear deletion ⋮ Random spatial growth with paralyzing obstacles ⋮ Age evolution in the mean field forest fire model via multitype branching processes ⋮ On the invariant distribution of a one-dimensional avalanche process ⋮ Linear de-preferential urn models ⋮ Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation ⋮ Frozen percolation on the binary tree is nonendogenous
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