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math.DS2013★ 41 cited
A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces
Carlos Matheus, Martin Moeller, Jean-Christophe Yoccoz
We present a Galois-theoretical criterion for the simplicity of the Lyapunov spectrum of the Kontsevich-Zorich cocycle over the Teichmueller flow on the -orbit of a square…
math.DS2013★ 4 cited
SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are regular
Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz
In the moduli space of normalized translation surfaces of genus , consider, for a small parameter , those translation surfaces which have two non-parallel saddle-conn…