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Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 2, Pages 349–351
DOI: https://doi.org/10.4213/tvp1469 (Mi tvp1469) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Short Communications

On large deviations for stochastic differentialequations with a small diffusion and averaging

A. Yu. Veretennikov

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (201 kB) Citations (4)
DOI: https://doi.org/10.4213/tvp1469
Abstract: This paper states the large deviations principle for a system of stochastic equations with “fast” and “slow” variables and a small diffusion in a “slow” component.
Keywords: large deviations, averaging, stochastic differential equation.
Received: 20.11.1998
English version:
Theory of Probability and its Applications, 1999, Volume 43, Issue 2, Pages 335–337
DOI: https://doi.org/10.1137/S0040585X97976969
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Veretennikov, “On large deviations for stochastic differentialequations with a small diffusion and averaging”, Teor. Veroyatnost. i Primenen., 43:2 (1998), 349–351; Theory Probab. Appl., 43:2 (1999), 335–337
Citation in format AMSBIB
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\by A.~Yu.~Veretennikov
\paper On large deviations for stochastic differentialequations with a~small diffusion and averaging
\jour Teor. Veroyatnost. i Primenen.
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\issue 2
\pages 349--351
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\zmath{https://zbmath.org/?q=an:0953.60042}
\transl
\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 2
\pages 335--337
\crossref{https://doi.org/10.1137/S0040585X97976969}
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Linking options:
  • https://www.mathnet.ru/eng/tvp1469
  • https://doi.org/10.4213/tvp1469
  • https://www.mathnet.ru/eng/tvp/v43/i2/p349
    Erratum
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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