Geodesic
One-Dimensional Continuous Strong Markov Processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 1, pp. 3-54

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One-dimensional temporally homogeneous strong Markov processes with continuous path functions are considered. No regularity conditions are assumed. Infinitesimal operators for all these processes are calculated. These calculations are based on a preliminary analysis of the local behaviour of path functions. The general results of sections 1–3 are used in sections 4–5 for conducting a more detailed investigation of the process in intervals of its regularity. 
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     author = {E. B. Dynkin},
     title = {One-Dimensional {Continuous} {Strong} {Markov} {Processes}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {1959},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1959_4_1_a0/}
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E. B. Dynkin. One-Dimensional Continuous Strong Markov Processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 1, pp. 3-54. http://geodesic.mathdoc.fr/item/TVP_1959_4_1_a0/