$C^1$ density of stable ergodicity
| Autor: | Avila, A., Crovisier, S., Wilkinson, A. |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove a $C^1$ version of a conjecture by Pugh and Shub: among partially hyperbolic volume-preserving $C^r$ diffeomorphisms, $r>1$, the stably ergodic ones are $C^1$-dense. To establish these results, we develop new perturbation tools for the $C^1$ topology: linearization of horseshoes while preserving entropy, and creation of "superblenders" from hyperbolic sets with large entropy. Comment: 58 pages, 11 figures. The long version of "Diffeomorphisms with positive metric entropy" arXiv:1408.4252v3 has been split in two, and this paper corresponds to the second part. The first part is available as the current version of arXiv:1408.4252 |
| Databáze: | arXiv |
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