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Moscow Mathematical Journal, 2005, Volume 5, Number 3, Pages 537–576
DOI: https://doi.org/10.17323/1609-4514-2005-5-3-537-576 (Mi mmj210) 		 
This article is cited in 32 scientific papers (total in 32 papers)

Averaging and invariant measures

D. I. Dolgopyat

University of Maryland
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DOI: https://doi.org/10.17323/1609-4514-2005-5-3-537-576
Abstract: An important approach to establishing stochastic behavior of dynamical systems is based on the study of systems expanding a foliation and of measures having smooth densities along the leaves of this foliation. We review recent results on this subject and present some extensions and open questions.
Key words and phrases: Averaging, Sinai–Ruelle–Bowen measures, partial hyperbolicity, decay of correlations.
Received: May 12, 2005; in revised form August 9, 2005
Bibliographic databases:
MSC: Primary 34C29; Secondary 37D30
Language: English
Citation: D. I. Dolgopyat, “Averaging and invariant measures”, Mosc. Math. J., 5:3 (2005), 537–576
Citation in format AMSBIB
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\by D.~I.~Dolgopyat
\paper Averaging and invariant measures
\jour Mosc. Math.~J.
\yr 2005
\vol 5
\issue 3
\pages 537--576
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\zmath{https://zbmath.org/?q=an:05140621}
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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