Unpublished conference/Abstract (Scientific congresses and symposiums)
About the Regularity of Cantor's Bijection
Simons, Laurent; Nicolay, Samuel
2012Functional Analysis : Applications to Complex Analysis and Partial Differential Equations
 

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Keywords :
Cantor's Bijection; Hölder Regularity; Multifractal function
Abstract :
[en] Multifractal analysis has been introduced in the context of turbulence. Some tools have been developed to study the solutions of some PDEs. In this talk, we will examine the regularity of 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 will particularly show that its H older exponent is equal to 1/2 almost everywhere (with respect to the Lebesgue measure).
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 Regularity of Cantor's Bijection
Alternative titles :
[en] A propos de la régularité de la bijection de Cantor
Publication date :
07 May 2012
Event name :
Functional Analysis : Applications to Complex Analysis and Partial Differential Equations
Event organizer :
Pawel Domanski et Michael Langenbruch
Event place :
Bedlewo (Poznan), Poland
Event date :
du 6 mai 2012 au 12 mai 2012
Audience :
International
Available on ORBi :
since 14 May 2012

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