Approximating Critical Parameters of Branching Random Walks

DOI10.1239/jap/1245676100zbMath1221.60136arXiv0710.3792OpenAlexW2149935825MaRDI QIDQ5321762

Fabio Zucca, Daniela Bertacchi

Publication date: 15 July 2009

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

Full work available at URL: https://arxiv.org/abs/0710.3792

zbMATH Keywords

percolationgraphscritical parametersbranching random walk

Mathematics Subject Classification ID

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

Related Items (13)

The timing of life history events in the presence of soft disturbances ⋮ Persistent and susceptible bacteria with individual deaths ⋮ Survival, extinction and approximation of discrete-time branching random walks ⋮ Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions ⋮ Rumor processes in random environment on \(\mathbb N\) and on Galton-Watson trees ⋮ Extinction Probabilities of Branching Processes with Countably Infinitely Many Types ⋮ Local and Global Survival for Nonhomogeneous Random Walk Systems on Z ⋮ Global survival of branching random walks and tree-like branching random walks ⋮ Strong Local Survival of Branching Random Walks is Not Monotone ⋮ Interacting growth processes and invariant percolation ⋮ A self-regulating and patch subdivided population ⋮ Galton-Watson processes in varying environment and accessibility percolation ⋮ Branching random walks and multi-type contact-processes on the percolation cluster of \(\mathbb{Z}^{d}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Epidemics with recovery in \(D=2\)
• Characterization of critical values of branching random walks on weighted graphs through infinite-type branching processes
• A simple proof of the stability criterion of Gray and Griffeath
• Ergodic theorems for the multitype contact process
• Branching random walks on trees
• Dependent random graphs and spatial epidemics
• Mass extinctions: an alternative to the Allee effect
• The branching random walk and contact process on Galton-Watson and nonhomogeneous trees
• Anisotropic branching random walks on homogeneous trees
• Ecological equilibrium for restrained branching random walks
• Non-negative matrices and Markov chains.
• The discrete integral maximum principle and its applications
• Branching random walks and contact processes on homogeneous trees
• Phase transitions on nonamenable graphs
• Critical Behaviors and Critical Values of Branching Random Walks on Multigraphs
• Ergodic theorems for coupled random walks and other systems with locally interacting components
• Percolation
• Random Walks on Infinite Graphs and Groups
• A Note on Branching Random Walks on Finite Sets

This page was built for publication: Approximating Critical Parameters of Branching Random Walks