Measures of maximal entropy for flow type partially hyperbolic diffeomorphisms

Lundi 21 janvier 10:15-11:45 - Ali Tahzibi - USP São Carlos, Brésil

Résumé : In this talk we recall the Margulis construction of a measure of maximal entropy for mixing Anosov flows and generalize it to small C^1 perturbations. The main aim is to understand the number of measures of maximal entropy for partially hyperbolic diffeomorphisms close to time one maps of mixing Anosov flows. We have a partial picture of the fact, proving a dichotomy in terms of the central Lyapunov exponent : either there are exactly two ergodic measures of maximal entropy (with opposite sign of center exponent), or all maximal measures have zero exponent.
This is a joint work with Jérôme Buzzi and Todd Fisher.

Lieu : salle 3L8

Measures of maximal entropy for flow type partially hyperbolic diffeomorphisms  Version PDF