C^r surface diffeomorphisms with no maximal entropy measure

Jerome Buzzi (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

For any $1\leq r<\infty$, we build on the disk and therefore on any manifold, a $C^r$-diffeomorphism with no measure of maximal entropy.

Mots clés: topological entropy; smooth ergodic theory; thermodynamical formalism; maximal entropy measure; Lyapunov exponents

Domaines: Systèmes dynamiques [math.DS]

Jerome Buzzi. C^r surface diffeomorphisms with no maximal entropy measure. 2012. ⟨hal-00698480⟩