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About the Multifractal Nature of Cantor's Bijection
Simons, Laurent; Nicolay, Samuel
2014Fractal Geometry and Stochastics V
 

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Keywords :
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
Publication date :
25 March 2014
Event name :
Fractal Geometry and Stochastics V
Event organizer :
Friedrich-Schiller-Universität Jena
Event place :
Tabarz, Germany
Event date :
du 24 mars 2014 au 29 mars 2014
Audience :
International
Available on ORBi :
since 27 March 2014

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