Spreading speeds in reducible multitype branching random walk

DOI10.1214/11-AAP813zbMath1269.60068arXiv1003.4716OpenAlexW1987976107MaRDI QIDQ691102

J. D. Biggins

Publication date: 29 November 2012

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

Full work available at URL: https://arxiv.org/abs/1003.4716

zbMATH Keywords

speedbranching random walkmultitypereducibleanomalous spreading

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Complete Classification of Catalytic Branching Processes, Moments for multidimensional Mandelbrot cascades, Anomalous spreading in reducible multitype branching Brownian motion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Probabilités de présence dans un processus de branchement spatial markovien. (Presence probability in a spatial Markov branching process)
• General branching processes as Markov fields
• Non-negative matrices and Markov chains. 2nd ed
• Precise estimates of presence probabilities in the branching random walk
• A short note on the conditional Borel-Cantelli lemma
• The growth and spread of the general branching random walk
• Anomalous spreading speeds of cooperative recursion systems
• Branching out
• A CONVEXITY PROPERTY OF POSITIVE MATRICES
• A Convexity Property in the Theory of Random Variables Defined on a Finite Markov Chain
• The first- and last-birth problems for a multitype age-dependent branching process
• Chernoff's theorem in the branching random walk
• Convex Analysis
• Convergence results on multitype, multivariate branching random walks