45 citations · 125 across the 13 of their papers we have counts for
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math.DS2008★ 45 cited
Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles
Artur Avila, Jairo Bochi, Jean-Christophe Yoccoz
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,…
math.DS2008★ 22 cited
Affine interval exchange maps with a wandering interval
Stefano Marmi, Pierre Moussa, Jean-Christophe Yoccoz
For almost all interval exchange maps T_0, with combinatorics of genus g>=2, we construct affine interval exchange maps T which are semi-conjugate to T_0 and have a wandering inter…