Robust criterion for the existence of nonhyperbolic ergodic measures

We give explicit C (1)-open conditions that ensure that a diffeomorphism possesses a nonhyperbolic ergodic measure with positive entropy. Actually, our criterion provides the existence of a partially hyperbolic compact set with one-dimensional center and

Bibliographic Details
Authors: Da Silva-Bochi, Jairo, Bonatti, Christian, Díaz, Lorenzo J
Format: article
Status:Published version
Publication Date:2014
Country:Chile
Language:English
OAI Identifier:oai:repositorio.anid.cl:10533/228418
Online Access:https://hdl.handle.net/10533/228418
Access Level:Open access
Description
Summary:We give explicit C (1)-open conditions that ensure that a diffeomorphism possesses a nonhyperbolic ergodic measure with positive entropy. Actually, our criterion provides the existence of a partially hyperbolic compact set with one-dimensional center and