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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 1, Pages 169–171 (Mi tvp3306)  

This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

A continuity criterion for a class of Markov processes

A. D. Bendikov

Rostov-Don
Full-text PDF (207 kB) Citations (2)
Abstract: The following theorem is proved.
For a standard process $X$ with a standard adjoint process $\widehat X$, the conditions:
1) the sample paths $x_t(\omega)$ of the process $X$ are continuous a.s.,
2) $\forall\,f,g\in C_K\colon S_f\bigcap S_g=\varnothing$, $\langle P_t,f,g\rangle=o(t)$, $t\downarrow 0$, are equivalent.
Received: 18.11.1974
English version:
Theory of Probability and its Applications, 1976, Volume 21, Issue 1, Pages 169–171
DOI: https://doi.org/10.1137/1121017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. D. Bendikov, “A continuity criterion for a class of Markov processes”, Teor. Veroyatnost. i Primenen., 21:1 (1976), 169–171; Theory Probab. Appl., 21:1 (1976), 169–171
Citation in format AMSBIB
\Bibitem{Ben76}
\by A.~D.~Bendikov
\paper A~continuity criterion for a~class of Markov processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1976
\vol 21
\issue 1
\pages 169--171
\mathnet{http://mi.mathnet.ru/tvp3306}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407998}
\zmath{https://zbmath.org/?q=an:0366.60102}
\transl
\jour Theory Probab. Appl.
\yr 1976
\vol 21
\issue 1
\pages 169--171
\crossref{https://doi.org/10.1137/1121017}
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  • https://www.mathnet.ru/eng/tvp/v21/i1/p169
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
     
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