Document Zbl 0678.60085

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Phase averaging of inhomogeneous semi-Markov random evolutions. (Russian) Zbl 0678.60085

Ukr. Mat. Zh. 41, No. 2, 163-170 (1989).

The authors prove theorems of the type of phase averaging of inhomogeneous semi-Markov random evolutions (ISMRE) and a law of large numbers for them. The ISMRE describes nonautonomous dynamic systems and is determined by a family of semigroups of inhomogeneous and strong- continuous contraction operators. The paper is a continuation of the authors’ earlier work on the homogeneous case.

Reviewer: Yubo Ge

Cited in 2 Reviews

Cited in 2 Documents

MSC:

60K15	Markov renewal processes, semi-Markov processes
60F05	Central limit and other weak theorems
93E03	Stochastic systems in control theory (general)

Keywords:

limit theorems; semi-Markov random evolutions; dynamic systems

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