Catalytic branching random walks in ℤ d with branching at the origin
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Publication:2945774
DOI10.3103/S1055134413020065zbMath1340.60134MaRDI QIDQ2945774
Vladimir A. Vatutin, Valentin Alekseevich Topchiĭ
Publication date: 14 September 2015
Published in: Siberian Advances in Mathematics (Search for Journal in Brave)
renewal theorylimit theoremcatalytic branching random walkBellman-Harris branching process with two types of particleshomogeneous and symmetric time-continuous multidimensional Markov random walk
Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Strong and weak convergence of the population size in a supercritical catalytic branching process ⋮ On Renewal Matrices Connected with Branching Processes with Tails of Distributions of Different Orders ⋮ Hitting times with taboo for a random walk ⋮ The spread speed of multiple catalytic branching random walks ⋮ Subcritical catalytic branching random walk with finite or infinite variance of offspring number ⋮ Critical Bellman-Harris branching processes with long-living particles ⋮ Local particles numbers in critical branching random walk ⋮ On the variance of the particle number of a supercritical branching random walk on periodic graphs ⋮ Maximum of a catalytic branching random walk
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