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Problemy Peredachi Informatsii, 1985, Volume 21, Issue 2, Pages 99–102 (Mi ppi988)  
Сorrespondence

Necessary and Sufficient Conditions for Recurrency of a Markov System in Terms of Liapunov Functions

V. A. Lazarev
Full-text PDF (355 kB)
Abstract: We prove the existence of an auxiliary function for a recurrent time-homogeneous Markov chain with a countable number of states. This function is found as the expectation of a certain function defined on trajectories of the process.
Received: 21.07.1983
Bibliographic databases:
Document Type: Article
UDC: 62-507:621.395.345
Language: Russian
Citation: V. A. Lazarev, “Necessary and Sufficient Conditions for Recurrency of a Markov System in Terms of Liapunov Functions”, Probl. Peredachi Inf., 21:2 (1985), 99–102
Citation in format AMSBIB
\Bibitem{Laz85}
\by V.~A.~Lazarev
\paper Necessary and Sufficient Conditions for Recurrency of a~Markov System in Terms of Liapunov Functions
\jour Probl. Peredachi Inf.
\yr 1985
\vol 21
\issue 2
\pages 99--102
\mathnet{http://mi.mathnet.ru/ppi988}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=804604}
\zmath{https://zbmath.org/?q=an:0578.60068}
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