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arxiv: 0808.0133 · v1 · pith:RI3OSK4Xnew · submitted 2008-08-01 · 🧮 math.DS

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

classification 🧮 math.DS
keywords considermatricesproductsallowedboundarycocyclescomplementcomponents
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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.

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