Critical Behaviors and Critical Values of Branching Random Walks on Multigraphs

DOI10.1239/jap/1214950362zbMath1144.60057OpenAlexW2056911436MaRDI QIDQ3516421

Fabio Zucca, Daniela Bertacchi

Publication date: 5 August 2008

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1214950362

zbMATH Keywords

treemultigraphphase transitionamenabilitybranching random walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Cites Work

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• Random walks and percolation on trees
• Random walks on graphs with a strong isoperimetric property
• Branching random walks on trees
• The contact process on trees
• The Ising model and percolation on trees and tree-like graphs
• The branching random walk and contact process on Galton-Watson and nonhomogeneous trees
• Branching processes as population dynamics
• Anisotropic branching random walks on homogeneous trees
• Branching random walks and contact processes on homogeneous trees
• Phase transitions on nonamenable graphs
• Markov random fields and percolation on general graphs
• Random Walks on Infinite Graphs and Groups

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