Criteria of Exponential Growth for the Numbers of Particles in Models of Branching Random Walks

DOI10.1137/S0040585X97985091zbMath1238.60093MaRDI QIDQ2882301

E. B. Yarovaya

Publication date: 4 May 2012

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

branching random walkssupercritical casenonhomogeneous environment

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (15)

Spread of a catalytic branching random walk on a multidimensional lattice ⋮ On the Number of Positive Eigenvalues of the Evolutionary Operator of Branching Random Walk ⋮ Complete Classification of Catalytic Branching Processes ⋮ Simulation of branching random walks on a multidimensional lattice ⋮ Spectral Asymptotics of a Supercritical Branching Random Walk ⋮ Branching processes with lattice spatial dynamics and a finite set of particle generation centers ⋮ Positive discrete spectrum of the evolutionary operator of supercritical branching walks with heavy tails ⋮ Asymptotic behavior of the mean number of particles for a branching random walk on the lattice \(\mathbb{Z}^d\) with periodic sources of branching ⋮ Asymptotic behavior of branching random walks on some two-dimensional lattices ⋮ Local particles numbers in critical branching random walk ⋮ Branching Random Walks With Several Sources^* ⋮ Limit theorems for local particle numbers in branching random walk ⋮ On the mean number of particles of a branching random walk on \(\mathbb{Z}^d\) with periodic sources of branching ⋮ Branching Random Walks on $Z^d$ with Periodic Branching Sources ⋮ Influence of the Configuration of Particle Generation Sources on the Behavior of Branching Walks: A Case Study

This page was built for publication: Criteria of Exponential Growth for the Numbers of Particles in Models of Branching Random Walks