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Livsiĉ theory for compact group extensions of hyperbolic systems
D. I. Dolgopyat University of Maryland
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.
MSC: 3730C,
37D30,
37J40 Received: May 14, 2003
Language: English
DOI:
10.17323/1609-4514-2005-5-1-55-66
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