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 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 1980, Volume 25, Issue 1, Pages 142–149 (Mi tvp1038)

Short Communications

On the continuity criteria for Markov processes

M. G. Šur

Moscow Institute of Electronic Engineering

Abstract: We give some criteria and sufficient conditions for the continuity of Markov processes. For example, let $E$ be a locally compact separable metric space and $X$ be a right continuous Markov process on $E$. Suppose the resolvent of $X$ is absolutely continuous in respect to a Radon measure $\mu$, and our condition (B) is fulfilled. If the assertion (10) is valid for any continuous functions $f$ and $g$ with disjoint compact supports, then the process $X$ is continuous almost surely (see Theorem 4). A special case of this result may be found in [1].

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English version:
Theory of Probability and its Applications, 1980, 25:1, 141–147

Bibliographic databases:

Citation: M. G. Šur, “On the continuity criteria for Markov processes”, Teor. Veroyatnost. i Primenen., 25:1 (1980), 142–149; Theory Probab. Appl., 25:1 (1980), 141–147

Citation in format AMSBIB
\Bibitem{Shu80} \by M.~G.~{\v S}ur \paper On the continuity criteria for Markov processes \jour Teor. Veroyatnost. i Primenen. \yr 1980 \vol 25 \issue 1 \pages 142--149 \mathnet{http://mi.mathnet.ru/tvp1038} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=560065} \zmath{https://zbmath.org/?q=an:0456.60082|0427.60089} \transl \jour Theory Probab. Appl. \yr 1980 \vol 25 \issue 1 \pages 141--147 \crossref{https://doi.org/10.1137/1125013} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1980LG24200013}