Branching Random Walks on $Z^d$ with Periodic Branching Sources

DOI10.1137/S0040585X97T989465zbMath1479.60180MaRDI QIDQ5232088

Mariya V. Platonova, K. S. Ryadovkin

Publication date: 29 August 2019

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

zbMATH Keywords

evolution equationperiodic perturbationbranching random walk

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

First hitting time of a high level by a catalytic branching walk ⋮ Moment Asymptotics of Population Size of Particles at Vertices for a Supercritical Branching Random Walk on a Periodic Graph ⋮ On the variance of the particle number of a supercritical branching random walk on periodic graphs ⋮ Heavy-tailed branching random walks on multidimensional lattices. A moment approach

Cites Work

• Spectral structure of the Laplacian on a covering graph
• Some relations between analytic and geometric properties of infinite graphs
• Spectral properties of evolutionary operators in branching random walk models
• Schrödinger operators on periodic discrete graphs
• Criteria of Exponential Growth for the Numbers of Particles in Models of Branching Random Walks
• Discrete Schrödinger operators on a graph
• Second order periodic differential operators. Threshold properties and homogenization
• Schrödinger operators with guided potentials on periodic graphs
• Floquet theory for partial differential equations
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