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Comptes Rendus Mathématique
Volume 346, n° 3-4
pages 199-201 (février 2008)
Doi : 10.1016/j.crma.2008.01.006
Received : 25 September 2007 ;  accepted : 7 January 2008
Entropy and maximizing measures of generic continuous functions
Entropie et mesures maximisantes des fonctions continues génériques
 

Julien Brémont
Laboratoire d’analyse et de mathématiques appliquées, université Paris XII, faculté des sciences et technologies, 61, avenue du Général-de-Gaulle, 94010 Créteil cedex, France 

Abstract

In the natural context of ergodic optimization, we provide a short proof of the assertion that the maximizing measure of a generic continuous function has zero entropy. To cite this article: J. Brémont, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
Résumé

Dans le cadre usuel de l’étude des mesures maximisantes, nous donnons une preuve courte du fait que la mesure maximisante d’une fonction continue générique est d’entropie nulle. Pour citer cet article : J. Brémont, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.


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