| Full text | |
| Author(s): |
Carrasco, Pablo D.
;
Rodriguez-Hertz, Federico
;
Rodriguez-Hertz, Jana
;
Ures, Raul
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 38, p. 37-pg., 2018-12-01. |
| Abstract | |
Partial hyperbolicity appeared in the 1960s as a natural generalization of hyperbolicity. In the last 20 years, there has been great activity in this area. Here we survey the state of the art in some related topics, focusing especially on partial hyperbolicity in dimension three. The reason for this is not only that it is the smallest dimension in which non-degenerate partial hyperbolicity can occur, but also that the topology of 3-manifolds influences the dynamics in revealing ways. (AU) | |
| FAPESP's process: | 13/16226-8 - Research project: rigidity and foliations in dynamical systems |
| Grantee: | Pablo Daniel Carrasco Correa |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |