The survival of branching annihilating random walk

DOI10.1007/BF00535338zbMath0537.60099OpenAlexW2080891439MaRDI QIDQ3322986

Lawrence F. Gray, Maury Bramson

Publication date: 1985

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00535338

zbMATH Keywords

interacting particle systemBranching annihilating random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

The survival of nonattractive interacting particle systems on \(Z\) ⋮ On the surviving probability of an annihilating branching process and application to a nonlinear voter model. ⋮ Quantum operators in classical probability theory. IV: Quasi-duality and thinnings of interacting particle systems ⋮ Single-site approximation for reaction-diffusion processes ⋮ Extinction window of mean field branching annihilating random walk ⋮ Annihilating branching processes ⋮ The nonperturbative functional renormalization group and its applications ⋮ The annihilating process on random trees and the square lattice ⋮ To fixate or not to fixate in two-type annihilating branching random walks ⋮ Effect of a Mode of Update on Universality Class for Coupled Logistic Maps: Directed Ising to Ising Class ⋮ Branching processes with interactions: subcritical cooperative regime

Cites Work

• A note on the survival of the long-range contact process
• A stability criterion for attractive nearest neighbor spin systems on Z
• Additive and cancellative interacting particle systems
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