Paper Info
Title
The 1/2--Complex Bruno function and the Yoccoz function. A numerical study of the Marmi--Moussa--Yoccoz Conjecture
Abstract
We study the 1/2-Cornplex Bruno function and we produce an algorithm to evaluate it numerically, giving a characterization of the monoid (M) over cap = M-T boolean OR M-S. We use this algorithm to test the Marmi-Moussa-Yoccoz Conjecture about the Holder continuity of the function z --> -i B(z) + log U(e(2piiz)) on {z is an element of C : Jz greater than or equal to 0}, where B is the 1/2-complex Bruno function and U is the Yoccoz function. We give a positive answer to an explicit question of S. Marmi et al [Marmi et al. 01].
Year
DOI
Venue
2003
10.1080/10586458.2003.10504517
EXPERIMENTAL MATHEMATICS
Keywords
Field
DocType
complex Bruno function,Yoccoz function,linearization of quadratic polynomial,Littlewood-Paley dyadic decomposition,continued fraction,Farey series
Topology,Mathematical analysis,Monoid,Hölder condition,Conjecture,Farey sequence,Mathematics
Journal
Volume
Issue
ISSN
12.0
4.0
1058-6458
Citations 
PageRank 
References 
1
0.52
0
Authors
1
Name
Order
Citations
PageRank
T Carletti13714.43