The survival of nonattractive interacting particle systems on \(Z\)

DOI10.1214/AOP/1019160329zbMath1023.60087OpenAlexW2046568802MaRDI QIDQ1872527

Aidan Sudbury

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1019160329

zbMATH Keywords

critical valuesinteracting particle systemscontact processsubmartingales

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Unnamed Item
• The branching annihilating process: An interacting particle system
• The survival of contact processes
• Particle systems and reaction-diffusion equations
• Dual families of interacting particle systems on graphs
• Improved upper bounds for the contact process critical value
• The critical contact process dies out
• The survival of branching annihilating random walk
• On the critical infection rate of the one-dimensional basic contact process: numerical results
• A method for finding bounds on critical values for non-attractive interacting particle systems

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