Markov branching random walks on \(\mathbf{Z}_+\): an approach using orthogonal polynomials. I

DOI10.1137/S0040585X97T991751MaRDI QIDQ6496902

A. V. Lyulintsev

Publication date: 6 May 2024

Published in: Theory of Probability and its Applications (Search for Journal in Brave)

zbMATH Keywords

Markov branching processorthogonal polynomialJacobi matrixbranching random walks

Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Quantum theory (81-XX)

Cites Work

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• On the mean number of particles of a branching random walk on \(\mathbb{Z}^d\) with periodic sources of branching
• Branching processes with lattice spatial dynamics and a finite set of particle generation centers
• Structure of the population of particles for a branching random walk in a homogeneous environment
• 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
• Harmonic analysis of branching random walks with heavy tails
• Branching Random Walks on $Z^d$ with Periodic Branching Sources
• Martingale method for studying branching random walks

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