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Moscow Mathematical Journal, 2005, Volume 5, Number 1, Pages 55–67
DOI: https://doi.org/10.17323/1609-4514-2005-5-1-55-66 (Mi mmj183) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Livsiĉ theory for compact group extensions of hyperbolic systems

D. I. Dolgopyat

University of Maryland
Full-text PDF Citations (9)
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DOI: https://doi.org/10.17323/1609-4514-2005-5-1-55-66
URL: https://www.ams.org/distribution/mmj/vol5-1-2005/abst5-1-2005.html#dolgopyat
Abstract: We prove Livsiĉ-type theorems for rapidly mixing compact group extensions of Anosov diffeomorphisms.
Key words and phrases: Cocycle equation, transfer operator, partial hyperbolicity, small divisors.
Received: May 14, 2003
Bibliographic databases:
MSC: 3730C, 37D30, 37J40
Language: English
Citation: D. I. Dolgopyat, “Livsiĉ theory for compact group extensions of hyperbolic systems”, Mosc. Math. J., 5:1 (2005), 55–67
Citation in format AMSBIB
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\by D.~I.~Dolgopyat
\paper Livsi\^c theory for compact group extensions of hyperbolic systems
\jour Mosc. Math.~J.
\yr 2005
\vol 5
\issue 1
\pages 55--67
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\crossref{https://doi.org/10.17323/1609-4514-2005-5-1-55-66}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2153466}
\zmath{https://zbmath.org/?q=an:1094.37014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208595200004}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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