Branching random walks and multi-type contact-processes on the percolation cluster of \(\mathbb{Z}^{d}\)

DOI10.1214/14-AAP1040zbMath1319.60165arXiv1311.5369MaRDI QIDQ2354889

Daniela Bertacchi, Fabio Zucca

Publication date: 27 July 2015

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

Full work available at URL: https://arxiv.org/abs/1311.5369

zbMATH Keywords

approximationcontact processcritical parametersbranching random walkpercolation cluster

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

The timing of life history events in the presence of soft disturbances ⋮ Spread of a catalytic branching random walk on a multidimensional lattice ⋮ Monotonicity of escape probabilities for branching random walks on \(\mathbb{Z}^d\) ⋮ Global survival of branching random walks and tree-like branching random walks ⋮ Galton-Watson processes in varying environment and accessibility percolation

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