Smooth Anosov flows: Correlation spectra and stability

Oliver Butterley; Carlangelo Liverani

doi:10.3934/jmd.2007.1.301

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2007, Volume 1, Issue 2: 301-322. Doi: 10.3934/jmd.2007.1.301

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Smooth Anosov flows: Correlation spectra and stability

Oliver Butterley^1, and
Carlangelo Liverani^2,

1.
Imperial College London, South Kensington Campus, SW7 2AZ London
2.
Dipartimento di Matematica, II Università di Roma (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma

Received: September 2006

Revised: December 2006

Published: January 2007

Abstract / Introduction Related Papers Cited by

Abstract

By introducing appropriate Banach spaces one can study the spectral properties of the generator of the semigroup defined by an Anosov flow. Consequently, it is possible to easily obtain sharp results on the Ruelle resonances and the differentiability of the SRB measure.

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Mathematics Subject Classification: 37C30, 37D30, 37M25.

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