2 papers
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…
math.CV1999
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…