Comptes Rendus
Dynamical Systems
Entropy and maximizing measures of generic continuous functions
Comptes Rendus. Mathématique, Volume 346 (2008) no. 3-4, pp. 199-201.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2008.01.006

Julien Brémont 1

1 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
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Julien Brémont. Entropy and maximizing measures of generic continuous functions. Comptes Rendus. Mathématique, Volume 346 (2008) no. 3-4, pp. 199-201. doi : 10.1016/j.crma.2008.01.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.01.006/

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