Strong Local Survival of Branching Random Walks is Not Monotone

DOI10.1239/aap/1401369700zbMath1311.60095arXiv1208.4010OpenAlexW2964259769MaRDI QIDQ5169500

Fabio Zucca, Daniela Bertacchi

Publication date: 10 July 2014

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

Full work available at URL: https://arxiv.org/abs/1208.4010

zbMATH Keywords

maximum principlegenerating functionglobal survivallocal survivalmulti-type branching processesstrong local survival

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (14)

Strong and weak convergence of the population size in a supercritical catalytic branching process ⋮ On laws of large numbers in \(L^2\) for supercritical branching Markov processes beyond \(\lambda \)-positivity ⋮ Limits of any society ⋮ Extinction probabilities in branching processes with countably many types: a general framework ⋮ A countable-type branching process model for the tug-of-war cancer cell dynamics ⋮ On the maximal displacement of catalytic branching random walk ⋮ The probabilities of extinction in a branching random walk on a strip ⋮ A pathwise approach to the extinction of branching processes with countably many types ⋮ Ecological equilibrium for restrained branching random walks ⋮ Global survival of branching random walks and tree-like branching random walks ⋮ Extinction in lower Hessenberg branching processes with countably many types ⋮ Galton-Watson processes in varying environment and accessibility percolation ⋮ Branching random walks with uncountably many extinction probability vectors ⋮ Branching random walks and multi-type contact-processes on the percolation cluster of \(\mathbb{Z}^{d}\)

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