Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles

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Avila, Artur
Bochi, Jairo
Yoccoz, Jean-Christophe
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Abstract
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We consider finite families of SL(2,R) matrices whose products display uniform exponential growth. These form open subsets of (SL(2,R))^N, and we study their components, boundary, and complement. We also consider the more general situation where the allowed products of matrices satisfy a Markovian rule.
Comment: 64 pages, 16 figures
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Mathematics - Dynamical Systems
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