Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classes
Dynamical Systems
2024-05-22 v2
Abstract
We study a rich family of robustly non-hyperbolic transitive diffeomorphisms and we show that each ergodic measure is approached by hyperbolic sets in weak-topology and in entropy. For hyperbolic ergodic measures, it is a classical result of A. Katok. The novelty here is to deal with non-hyperbolic ergodic measures.
Keywords
Cite
@article{arxiv.1803.06572,
title = {Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classes},
author = {Dawei Yang and Jinhua Zhang},
journal= {arXiv preprint arXiv:1803.06572},
year = {2024}
}
Comments
25 pages and 1 figure