Survival of discrete time growth models, with applications to oriented percolation

DOI10.1214/aoap/1177004698zbMath0842.60090OpenAlexW1993711876MaRDI QIDQ1909395

Thomas M. Liggett

Publication date: 12 March 1996

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

Full work available at URL: https://doi.org/10.1214/aoap/1177004698

zbMATH Keywords

survivalpercolationcritical valuescontact process

Mathematics Subject Classification ID

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

Related Items (14)

On the threshold of spread-out contact process percolation ⋮ Classification of backward filtrations and factor filtrations: examples from cellular automata ⋮ Geometry of Lipschitz percolation ⋮ Tertiles and the time constant ⋮ On Random Fragmentations Arising From Binary Splitting ⋮ A model of random merging of segments ⋮ Fluctuation lower bounds in planar random growth models ⋮ Percolation games, probabilistic cellular automata, and the hard-core model ⋮ Percolation and first-passage percolation on oriented graphs ⋮ Higher-dimensional stick percolation ⋮ Hypergeometric series in a series expansion of the directed-bond percolation probability on the square lattice ⋮ A supercritical series analysis for the generalized contact process with diffusion ⋮ Baxter-Guttman-Jensen conjecture for power series in directed percolation problem ⋮ RMF accessibility percolation on oriented graphs

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