Limit theorems for the nonattractive Domany-Kinzel model

DOI10.1214/aop/1023481012zbMath1018.60095OpenAlexW2020245746WikidataQ62039454 ScholiaQ62039454MaRDI QIDQ1872280

Makoto Katori, Norio Konno, Hideki Tanemura

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/1023481012

zbMATH Keywords

limit theoremsDomany-Kinzel model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items

Overview: PCA Models and Issues ⋮ Multiple-grain dissipative sandpiles ⋮ Survival probability of mutually killing Brownian motions and the O'Connell process ⋮ The Dyson Brownian minor process ⋮ Noncolliding Brownian motion and determinantal processes ⋮ Reciprocal time relation of noncolliding Brownian motion with drift ⋮ Form factors, plane partitions, and random walks ⋮ Large \(n\) limit of Gaussian random matrices with external source. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Epidemics with recovery in \(D=2\)
• Oriented percolation in two dimensions
• An equilibrium state for a one-dimensional life game
• On a class of set-valued Markov processes
• Limit theorems for nonergodic set-valued Markov processes
• Survival of one-dimensional cellular automata under random perturbations
• Survival probabilities for discrete-time models in one dimension
• Phase transitions of cellular automata
• Statistical mechanics of cellular automata
• Equivalence of Cellular Automata to Ising Models and Directed Percolation

This page was built for publication: Limit theorems for the nonattractive Domany-Kinzel model