On the ergodic theory of critical branching Markov chains

DOI10.1016/0304-4149(94)90144-9zbMath0796.60088OpenAlexW2116709905MaRDI QIDQ1318328

J. Theodore Cox

Publication date: 20 September 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90144-9

zbMATH Keywords

invariant measuresMarkov transition kernelcritical branching Markov chainscritical offspring distributionextinction/stability dichotomyLaplace transform formularecurrence/transience properties

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 (1)

Invariant measures of critical spatial branching processes in high dimensions

Cites Work

• Systems of independent Markov chains
• On the long term behavior of some finite particle systems
• Persistence of critical multitype particle and measure branching processes
• Additive set-valued Markov processes and graphical methods
• An infinite particle system with additive interactions
• Stability of Critical Cluster Fields
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