This article is cited in 2 papers

Existence theorems for a semi-Markov process with an arbitrary set of states

A. P. Cherenkov

Moscow Engineering Physics Institute

Abstract: 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.

UDC: 519.2

Received: 13.12.1972

 English version: Mathematical Notes, 1974, 15:4, 367–373

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