Excessive measures and entry laws for a~Markov process
Sbornik. Mathematics, Tome 13 (1971) no. 2, pp. 209-246

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For a Markov transition function $p(t,x,\Gamma)$ there is constructed a space of active entries $\mathscr U$ and a space of passive entries $\mathscr U'$. The first of these is used to describe all entry laws and purely excessive measures associated with $p(t,x,\Gamma)$ and satisfying certain conditions of finiteness. The second is used to describe all measures $\eta$ that are invariant with respect to $p(t,x,\Gamma)$ and with respect to which some “standard” function $l$ is integrable. Bibliography: 11 titles.
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     author = {E. B. Dynkin},
     title = {Excessive measures and entry laws for {a~Markov} process},
     journal = {Sbornik. Mathematics},
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     volume = {13},
     number = {2},
     year = {1971},
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     url = {http://geodesic.mathdoc.fr/item/SM_1971_13_2_a2/}
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E. B. Dynkin. Excessive measures and entry laws for a~Markov process. Sbornik. Mathematics, Tome 13 (1971) no. 2, pp. 209-246. http://geodesic.mathdoc.fr/item/SM_1971_13_2_a2/