Recurrence and transience of multitype branching random walks.

DOI10.1016/S0304-4149(00)00055-7zbMath1047.60086WikidataQ126593228 ScholiaQ126593228MaRDI QIDQ1879502

Mikhail V. Menshikov, Serguei Popov, Fábio Prates Machado

Publication date: 22 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

multitype branching random walkstrong recurrencestrong transience

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Recurrence and transience of branching diffusion processes on Riemannian manifolds ⋮ Critical drift estimates for the frog model on trees ⋮ Local and Global Survival for Nonhomogeneous Random Walk Systems on Z ⋮ Global survival of branching random walks and tree-like branching random walks ⋮ Galton-Watson processes in varying environment and accessibility percolation ⋮ Branching random walks with uncountably many extinction probability vectors

Cites Work

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• Criteria for the recurrence or transience of stochastic process. I
• A note on transience versus recurrence for a branching random walk in random environment
• Criteria for stochastic processes. II: Passage-time moments
• Passage-time moments for nonnegative stochastic processes and an application to reflected random walks in a quadrant
• Passage-time moments for continuous non-negative stochastic processes and applications
• Topics in the Constructive Theory of Countable Markov Chains

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