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

By Artur Avila, Jairo Bochi, J. Yoccoz. 2008

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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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9855aeb9081377381416379adf6c7961a4b6b45d

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