Spectra of Ruelle Transfer Operators for Contact Flows

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    In this survey article we discuss some recent results concerning strong spectral estimates for Ruelle transfer operators for contact flows on basic sets similar to these of Dolgopyat obtained in the case of Anosov flows with C1 stable and unstable foliations. Some applications of Dolgopyat's results and the more recent ones are also described.
    Original languageEnglish
    Pages (from-to)219-252
    JournalSerdica Mathematical Journal
    Issue number1
    Publication statusPublished - 2008


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