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.
page revision: 1, last edited: 17 Nov 2010 16:32