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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 4, Pages 758–774 (Mi tvp4013)  
On large deviations for additive functionals of Markov processes. I

A. Yu. Veretennikov
Full-text PDF (780 kB)
Abstract: Using the theory of positive operators we find the logarithmic asymptotics of large deviations for homogeneous Markov processes as time tends to infinity.
Keywords: large deviations, Markov processes, superstability, positive operators.
Received: 25.04.1989
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 4, Pages 706–719
DOI: https://doi.org/10.1137/1138069
Bibliographic databases:
Language: Russian
Citation: A. Yu. Veretennikov, “On large deviations for additive functionals of Markov processes. I”, Teor. Veroyatnost. i Primenen., 38:4 (1993), 758–774; Theory Probab. Appl., 38:4 (1993), 706–719
Citation in format AMSBIB
\Bibitem{Ver93}
\by A.~Yu.~Veretennikov
\paper On large deviations for additive functionals of Markov processes.~I
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 4
\pages 758--774
\mathnet{http://mi.mathnet.ru/tvp4013}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1317996}
\zmath{https://zbmath.org/?q=an:0824.60021}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 4
\pages 706--719
\crossref{https://doi.org/10.1137/1138069}
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