| Full text | |
| Author(s): |
Jaeger, T.
;
Tal, F.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 37, p. 10-pg., 2017-08-01. |
| Abstract | |
We provide an equivalent characterization for the existence of one-dimensional irrational rotation factors of conservative torus homeomorphisms that are not eventually annular. It states that an area-preserving non-annular torus homeomorphism f is semiconjugate to an irrational rotation R-alpha of the circle if and only if there exists a well-defined speed of rotation in some rational direction on the torus, and the deviations from the constant rotation in this direction are uniformly bounded. By means of a counterexample, we also demonstrate that a similar characterization does not hold for eventually annular torus homeomorphisms. (AU) | |
| FAPESP's process: | 11/16265-8 - Low dimensional dynamics |
| Grantee: | Edson Vargas |
| Support Opportunities: | Research Projects - Thematic Grants |