Analytic non-linearizable uniquely ergodic diffeomorphisms on the two-torus
| dc.creator | Saprykina, Maria | |
| dc.date | 2001-06-05 | |
| dc.date | 2002-06-18 | |
| dc.date.accessioned | 2026-07-07T04:42:00Z | |
| dc.date.available | 2026-07-07T04:42:00Z | |
| dc.description | We study the behavior of diffeomorphisms, contained in the closure $\bar {\A_\a}$ (in the inductive limit topology) of the set $\A_\a$ of real-analytic diffeomorphisms of the torus $\Bbb T^2$, conjugated to the rotation $R_\a:(x,y)\mapsto (x + \a, y)$ by an analytic measure-preserving transformation. We show that for a generic $\a\in [0,1]$, $\bar {\A_\a}$ contains a dense set of uniquely ergodic diffeomorphisms. We also prove that $\bar {\A_\a}$ contains a dense set of diffeomorphisms that are minimal and non-ergodic. | |
| dc.description | New corrected version | |
| dc.identifier | https://arxiv.org/abs/math/0106032 | |
| dc.identifier | http://arxiv.org/abs/math/0106032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61593 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37A25; 37J40; 37A05 | |
| dc.title | Analytic non-linearizable uniquely ergodic diffeomorphisms on the two-torus | |
| dc.type | text |