Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866916252723707904 |
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| author | Yang, Dawei Zhang, Jinhua |
| author_facet | Yang, Dawei Zhang, Jinhua |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1803_06572 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classes Yang, Dawei Zhang, Jinhua Dynamical Systems 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. |
| title | Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classes |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/1803.06572 |