Hölder exponent; Cantor's Bijection; Continued Fraction; Ergodic Theory
Abstract :
[en] In this talk, we present the Cantor's bijection between the irrational numbers of the unit interval [0,1] and the irrational numbers of the unit square [0,1]². We explore the regularity and the fractal nature of this map. This talk is based on a joint work with S. Nicolay.
Disciplines :
Mathematics
Author, co-author :
Simons, Laurent ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Nicolay, Samuel ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
About the Multifractal Nature of Cantor's Bijection
