Geodesic
Existence theorems for a~semi-Markov process with an arbitrary set of states
Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 621-630.

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We introduce a semi-Markov process $x_t$ with an arbitrary measurable set of states; we formulate conditions for the absence of second order discontinuities in the trajectories of the process sufficient for realization of the semi-Markov process $x_t$ as a probability measure in the space of step-functions. We conclude with a study of the resulting model. 
@article{MZM_1974_15_4_a13,
     author = {A. P. Cherenkov},
     title = {Existence theorems for {a~semi-Markov} process with an arbitrary set of states},
     journal = {Matemati\v{c}eskie zametki},
     pages = {621--630},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a13/}
}
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A. P. Cherenkov. Existence theorems for a~semi-Markov process with an arbitrary set of states. Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 621-630. http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a13/