Reference : About the Regularity of Cantor's Bijection

	Document type :	Scientific congresses and symposiums : Unpublished conference
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/2268/121498

Title :	About the Regularity of Cantor's Bijection
Language :	English
Alternative title :	[en] A propos de la régularité de la bijection de Cantor
Author, co-author :	Simons, Laurent [Université de Liège - ULg > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >]
	Nicolay, Samuel [Université de Liège - ULg > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >]
Publication date :	7-May-2012
On invitation :	No
Audience :	International
Event name :	Functional Analysis : Applications to Complex Analysis and Partial Differential Equations
Event date :	du 6 mai 2012 au 12 mai 2012
Event organizer :	Pawel Domanski et Michael Langenbruch
Event place (city) :	Bedlewo (Poznan)
Event country :	Poland
Keywords :	[en] 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).
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/2268/121498

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	Fulltext file(s): File Commentary Version Size Access Restricted access FunctAnACAPDE_Pres_SIMONS.pdf Publisher postprint 227.89 kB Request copy

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