Smooth Anosov flows: Correlation spectra and stability | Zendy

Oliver Butterley | Zendy; Carlangelo Liverani | Zendy

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Smooth Anosov flows: Correlation spectra and stability

Author(s) -

Oliver Butterley,

Carlangelo Liverani

Publication year - 2007

Publication title -

journal of modern dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.668

H-Index - 25

eISSN - 1930-532X

pISSN - 1930-5311

DOI - 10.3934/jmd.2007.1.301

Subject(s) - mathematics , differentiable function , semigroup , banach space , generator (circuit theory) , measure (data warehouse) , pure mathematics , flow (mathematics) , stability (learning theory) , spectral line , mathematical analysis , geometry , physics , machine learning , astronomy , computer science , power (physics) , quantum mechanics , database

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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