Geodesic
On regular boundary points for Markov processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 4, pp. 690-695

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The equivalence of the notion of a regular boundary point with that of a quasi regular boundary point is proved in this paper for a wide class of Markov processes in a semicompact. The criterion for a point to be regular which is analogous to the criterion of Valle-Poussin (in the theory of differential equations) is used to prove that when certain conditions are satisfied a point is regular for one process if and only if it is regular for another one. 
@article{TVP_1966_11_4_a8,
     author = {N. V. Krylov},
     title = {On regular boundary points for {Markov} processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {690--695},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {1966},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_4_a8/}
}
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N. V. Krylov. On regular boundary points for Markov processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 4, pp. 690-695. http://geodesic.mathdoc.fr/item/TVP_1966_11_4_a8/