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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 1, Pages 169–171
(Mi tvp3306)
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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
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
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
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https://www.mathnet.ru/eng/tvp3306 https://www.mathnet.ru/eng/tvp/v21/i1/p169
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