Asymptotic density in a threshold coalescing and annihilating random walk

DOI10.1214/aop/1008956326zbMath1031.60086OpenAlexW1495792928MaRDI QIDQ1872181

David Stephenson

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/1008956326

zbMATH Keywords

Markov chainrandom walkparticle movement

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (1)

Reachability and recurrence in a modular generalization of annihilating random walks (and Lights-Out games) to hypergraphs

Cites Work

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• Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\).
• Additive and cancellative interacting particle systems
• Asymptotic density in a coalescing random walk model.
• Asymptotics for interacting particle systems onZ d
• A limit theorem for patch sizes in a selectively-neutral migration model
• Ergodic theorems for coupled random walks and other systems with locally interacting components

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