Local product structure, equilibrium states and partially hiperbolic systems
| Full text | |
| Author(s): |
Ponce, Gabriel
Total Authors: 1
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 146, n. 10, p. 4389-4404, OCT 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we introduce a C-r-perturbation procedure, with respect to the C-r-Epstein topology, for CCr-foliations by surfaces. Using this perturbation procedure we show how one can use the existence of recurrent leaves of a certain C-r-foliation F to obtain a foliation G, Cr-close to F in the C-r-Epstein topology, which has a resilient leaf. In particular, one can take advantage of the recurrence property to construct examples of C-r-foliations, C-r-close to each other and such that one of them has a resilient leaf while the other is Riemannian (therefore has trivial dynamics). (AU) | |
| FAPESP's process: | 16/05384-0 - Dynamics of foliations and rigidity of ergodic measures |
| Grantee: | Gabriel Ponce |
| Support type: | Regular Research Grants |