On the Ergodicity and Stability of the Sequence $w_{n + 1} = f(w_n ,\xi _n )$: Applications to Communication Networks

DOI10.1137/1133094zbMath0715.60126OpenAlexW2016096397MaRDI QIDQ3201229

Aleksandr A. Borovkov

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1137/1133094

zbMATH Keywords

continuity conditionsergodicity conditionsALOHA systemsexistence of a stationary majorant

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Special processes (60K99)

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Limit theorems for recursive algorithms ⋮ Markov renewal theory for stationary \((m + 1)\)-block factors: convergence rate results. ⋮ Stationary solutions of stochastic recursions describing discrete event systems ⋮ Treelike queueing networks: Asymptotic stationarity and heavy traffic

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