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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.DS2012★ 28 cited
Symplectic and Isometric SL(2,R) invariant subbundles of the Hodge bundle
Artur Avila, Alex Eskin, Martin Moeller
Suppose N is an affine SL(2,R)-invariant submanfold of the moduli space of pairs (M,w) where M is a curve, and w is a holomorphic 1-form on M. We show that the Forni bundle of N (i…
math.DS2011
Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant
M. Möller, A. D. Pohl
We characterize Maass cusp forms for any cofinite Hecke triangle group as 1-eigenfunctions of appropriate regularity of a transfer operator family. This transfer operator family is…