The birth and death chain in a random environment: Instability and extinction theorems

DOI10.1214/aop/1176995391zbMath0392.60049OpenAlexW2061956454MaRDI QIDQ1251857

William C. Torrez

Publication date: 1978

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176995391

zbMATH Keywords

Birth and Death ChainInstability PropertyInvariant MeasureRecurrent Markov Chain

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Random evolutions and stochastic compartments, Recurrence vs. transience for spatially inhomogeneous birth and death in a random environment, Birth and death processes in interactive random environments, Nearest-neighbor walks with low predictability profile and percolation in \(2+\varepsilon\) dimensions