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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.21+62
Kiykovska O.I., Chabanyuk Ya.M.

RANDOM EVOLUTION IN A SHEME OF ASYMPTOTICALLY SMALL DIFFUSION WITH MARKOV SWITCHINGS

Abstract. We construct a limit exponential generator for random evolution in an asymptotically small diffusion scheme using a small parameter of series and solution of the singular perturbation problem for a uniformly ergodic Markov process.

Keywords: large deviation, Markov process, exponential generator.



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Кийковская Ольга Игоревна,
аспирантка Национального университета «Львовская политехника»,
e-mail: olja.kiykovska@gmail.com.

Чабанюк Ярослав Михайлович,
доктор физ.-мат. наук, профессор Национального университета «Львовская политехника»,
e-mail: yaroslav_chab@yahoo.com .

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