Characterization of critical values of branching random walks on weighted graphs through infinite-type branching processes

DOI10.1007/s10955-008-9653-5zbMath1161.82020arXiv0804.0224OpenAlexW2163283590MaRDI QIDQ1012694

Fabio Zucca, Daniela Bertacchi

Publication date: 22 April 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0224

zbMATH Keywords

critical valuebranching processweighted graphcritical behaviorbranching random walk

Mathematics Subject Classification ID

Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Dynamic critical phenomena in statistical mechanics (82C27)

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Cites Work

• On the Collatz-Wielandt numbers and the local spectral radius of a nonnegative operator
• Collatz-Wielandt numbers in general partially ordered spaces
• Branching random walks on trees
• The contact process on trees
• Local spectral radii and Collatz-Wielandt numbers of monic operator polynomials with nonnegative coefficients
• The branching random walk and contact process on Galton-Watson and nonhomogeneous trees
• Anisotropic branching random walks on homogeneous trees
• Branching random walks and contact processes on homogeneous trees
• Critical Behaviors and Critical Values of Branching Random Walks on Multigraphs
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