Analyse multifractale; Brjuno functions; Minkowski question mark function; Cantor function; Number Theory
Abstract :
[en] We investigate the fractal properties of the Brjuno-Yoccoz function associated with the
nearest integer continued fraction : the p-exponent at x is equal to the inverse of the irrationality exponent of x. We also look at the regularity of other functions defined through continued fractions such as the Minkowski question Mark function and Cantor functions.
Disciplines :
Mathematics
Author, co-author :
Lamby, Thomas ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Some functions defined through continued fractions
Publication date :
2024
Event name :
Premières rencontres du Réseau Thématique ANAlyse et InteractionS
