A phase transition for the coupled branching process. I: The ergodic theory in the range of finite second moments

DOI10.1007/BF01304274zbMath0695.60099MaRDI QIDQ910113

Andreas Greven

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

branching processesphase transitiontranslation invariant measureinfinite particle systems

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Diffusive clustering in an infinite system of hierarchically interacting diffusions ⋮ Phase transitions for the long-time behavior of interacting diffusions ⋮ A functional CLT for the occupation time of a state-dependent branching random walk ⋮ Coupling in the theory of interacting systems

Cites Work

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• The binary contact path process
• Two critical exponents for finite reversible nearest particle systems
• The hydrodynamical behavior of the coupled branching process
• The basic contact processes
• Critical phenomena for Spitzer's reversible nearest particle systems
• Interaction of Markov processes
• Generalized potlatch and smoothing processes
• Ergodic theorems for coupled random walks and other systems with locally interacting components

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