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April  2007, 1(2): 301-322. doi: 10.3934/jmd.2007.1.301

Smooth Anosov flows: Correlation spectra and stability

Oliver Butterley 1, and  Carlangelo Liverani 2,

1. 

Imperial College London, South Kensington Campus, SW7 2AZ London, United Kingdom
2. 

Dipartimento di Matematica, II Università di Roma (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma, Italy

Received  September 2006 Revised  December 2006 Published  January 2007

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.
Keywords: Transfer operator, resonances, differentiability SRB..
Mathematics Subject Classification: 37C30, 37D30, 37M2.
Citation: Oliver Butterley, Carlangelo Liverani. Smooth Anosov flows: Correlation spectra and stability. Journal of Modern Dynamics, 2007, 1 (2) : 301-322. doi: 10.3934/jmd.2007.1.301
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