Problem of large deviations for Markov random evolutions with independent increments in the scheme of asymptotically small diffusion

The problem of large deviations for random evolutions with independent increments is solved in the scheme of asymptotically small diffusion by passing to the limit in the nonlinear (exponential) generator of semigroups by using the solution of the problem of singular perturbation for a reducibly inv...

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Bibliographic Details
Date:2010
Main Authors: Korolyuk, V. S., Королюк, В. С.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2894
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal