Branching random walk in a catalytic medium. I: Basic equations

DOI10.1023/A:1009818620550zbMath0953.60079OpenAlexW75999362MaRDI QIDQ1975210

Leonid V. Bogachev, Sergio A. Albeverio

Publication date: 29 January 2001

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009818620550

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Partial functional-differential equations (35R10) Difference operators (39A70) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items (20)

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 ⋮ Some limit theorems for a particle system of single point catalytic branching random walks ⋮ Survival analysis of particle populations in branching random walks ⋮ Spectral Asymptotics of a Supercritical Branching Random Walk ⋮ Critical branching random walks on low-dimensional lattices ⋮ Spectral properties of evolutionary operators in branching random walk models ⋮ Positive discrete spectrum of the evolutionary operator of supercritical branching walks with heavy tails ⋮ Limit distributions for the number of particles in branching random walks ⋮ Critical Bellman-Harris branching processes with long-living particles ⋮ The spread of a catalytic branching random walk ⋮ Branching Random Walks With Several Sources^* ⋮ Symmetric Branching Walks in Homogeneous and Non Homogeneous Random Environments ⋮ Operator equations of branching random walks ⋮ Quenched law of large numbers for branching Brownian motion in a random medium ⋮ Critical branching random walk in an IID environment ⋮ Supercritical Branching Random Walks with a Single Source ⋮ Influence of the Configuration of Particle Generation Sources on the Behavior of Branching Walks: A Case Study ⋮ Catalytic Branching Processes via Spine Techniques and Renewal Theory

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