| Full text | |
| Author(s): |
Cirilo, Patricia
Total Authors: 1
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 44, n. 4, p. 14-pg., 2023-11-23. |
| Abstract | |
In this paper we study non-compact extensions of toral translations. We prove that the generic higher dimensional cylindrical cascade (i.e, a skew product in T-d x R (R)) above a Liouvillian irrational translation is ergodic. Since Liouvillian vectors form a residual set, as a corollary we show that ergodicity is a generic property in the set of skew products over rigid rotations. (AU) | |
| FAPESP's process: | 13/16553-9 - Ergodic and algebraic properties for dynamical systems which preserves an infinite measure: the elliptic dynamics context |
| Grantee: | Patricia Romano Cirilo |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 19/09045-3 - Geometry and dynamics between São Paulo and New York |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |