Reference : About the Regularity of Cantor's Bijection
Scientific congresses and symposiums : Unpublished conference
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/121498
About the Regularity of Cantor's Bijection
English
[en] A propos de la régularité de la bijection de Cantor
Simons, Laurent mailto [Université de Liège - ULg > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >]
Nicolay, Samuel mailto [Université de Liège - ULg > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >]
7-May-2012
No
No
International
Functional Analysis : Applications to Complex Analysis and Partial Differential Equations
du 6 mai 2012 au 12 mai 2012
Pawel Domanski et Michael Langenbruch
Bedlewo (Poznan)
Poland
[en] Cantor's Bijection ; Hölder Regularity ; Multifractal function
[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).
Researchers ; Professionals
http://hdl.handle.net/2268/121498

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