On the Number of Positive Eigenvalues of the Evolutionary Operator of Branching Random Walk

DOI10.1007/978-3-319-31641-3_3zbMath1354.60090OpenAlexW2513102736MaRDI QIDQ3179778

Ekaterina Antonenko, E. B. Yarovaya

Publication date: 20 December 2016

Published in: Branching Processes and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31641-3_3

zbMATH Keywords

branching random walkpositive eigenvaluesevolutionary operator

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Linear differential equations in abstract spaces (34G10) Linear difference operators (47B39)

Related Items (1)

Branching random walks with alternating sign intensities of branching sources

Cites Work

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• The theory of stochastic processes. I. Translated from the Russian by S. Kotz.
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• Branching random walk in a catalytic medium. I: Basic equations
• Criteria of Exponential Growth for the Numbers of Particles in Models of Branching Random Walks
• Matrix Analysis
• Asymptotics of branching symmetric random walk on the lattice with a single source
• A limit theorem for a supercritical branching random walk on $ \mathbb Z^d$ with a single source
• Limit Theorem for Critical Catalytic Branching Random Walks

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