Phase transitions and duality properties of a successional model

DOI10.1239/aap/1113402408zbMath1064.60197OpenAlexW2107379464MaRDI QIDQ4676436

Nicolas. Lanchier

Publication date: 3 May 2005

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1113402408

zbMATH Keywords

phase transitioninteracting particle systemcompetition modelmultitype contact processforest fire model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (1)

A multitype contact process with frozen sites: a spatial model of allelopathy

Cites Work

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• Epidemics with recovery in \(D=2\)
• The central limit theorem for the right edge of supercritical oriented percolation
• Oriented percolation in two dimensions
• Ergodic theorems for the multitype contact process
• On a class of set-valued Markov processes
• Coexistence results for some competition models
• Nearest-neighbor Markov interaction processes on multidimensional lattices

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