22 citations · 22 across the 5 of their papers we have counts for
5 papers
Brjuno-Like Functions for nonlinear expanding maps: Fractional Derivatives and Regularity Dichotomies
Stefano Marmi, Daniel Smania
Cohomological equations appear frequently in dynamical systems. One of the most classical examples is the Livšic equation The existence and regulari…
The Brjuno and Wilton Functions
Claire Burrin, Seul Bee Lee, Stefano Marmi
The Brjuno and Wilton functions bear a striking resemblance, despite their very different origins; while the Brjuno function is a fundamental tool in one-dimensional holomor…
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…
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…
Complex Brjuno functions
S. Marmi, P. Moussa, J. -C. Yoccoz
The Brjuno function arises naturally in the study of one--dimensional analytic small divisors problems. It belongs to and it is stable under Hölder pertu…