Entropy and maximizing measures of generic continuous functions

Julien Brémont (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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.

Domaines: Systèmes dynamiques [math.DS]

Julien Brémont. Entropy and maximizing measures of generic continuous functions. CRAS, 2008, I (346), pp.199-201. ⟨hal-00794126⟩