Geodesic
A~continuity criterion for a~class of Markov processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 1, pp. 169-171

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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. 
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     author = {A. D. Bendikov},
     title = {A~continuity criterion for a~class of {Markov} processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {169--171},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_1_a16/}
}
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A. D. Bendikov. A~continuity criterion for a~class of Markov processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 1, pp. 169-171. http://geodesic.mathdoc.fr/item/TVP_1976_21_1_a16/