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math.DS2014★ 1 cited
Hölder regularity of the solutions of the cohomological equation for Roth type interval exchange maps
Stefano Marmi, Jean-Christophe Yoccoz
We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class with and belong…
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…
math.DS1999
Diophantine conditions and real or complex Brjuno functions
P. Moussa, S. Marmi
The continued fraction expansion of the real number $x=a_0+x_0, a_0\in {\ZZ},$ is given by $0\leq x_n<1, x_{n}^{-1}=a_{n+1}+ x_{n+1}, a_{n+1}\in {\NN},$ for The Brjuno f…