Operators Satisfying the Schur Condition and their Applications to the Branching Random Walks

DOI10.1080/03610926.2013.775305zbMath1294.60107OpenAlexW2076545180MaRDI QIDQ5419663

E. B. Yarovaya

Publication date: 11 June 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.775305

zbMATH Keywords

difference operatorsbranching random walksSchur testdifferential equations in the Banach spaces

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Limit distributions arising in branching random walks on integer lattices
• Operators similar to unitary of selfadjoint ones
• Spectral properties of evolutionary operators in branching random walk models
• Supercritical Branching Random Walks with a Single Source
• 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

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