Lorenzo Diaz

Entropy-expansivity and partial hyperbolicity

Résumé :

We show that diffeomorphisms with a dominated splitting of the form E^s + E^c + E^u, where E^c is a nonhyperbolic
central bundle that splits in a dominated way into 1-dimensional subbundles, are entropy-expansive. In particular, they have a principal symbolic extension and equilibrium states. We also see that, C^1-generically, the domination hypothesis is a necessary and sufficient condition for entropy expansiveness.

Join work with Fisher, Pacifico, and Vieitez.

Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-ShareAlike 3.0 License