Constructions in elliptic dynamics
| dc.creator | Fayad, Bassam | |
| dc.creator | Katok, Anatole | |
| dc.date | 2005-01-22 | |
| dc.date.accessioned | 2026-07-07T05:16:16Z | |
| dc.date.available | 2026-07-07T05:16:16Z | |
| dc.description | We present an overview and some new applications of the approximation by conjugation method introduced by Anosov and the second author more than thirty years ago \cite{AK}. Michel Herman made important contributions to the development and applications of this method beginning from the construction of minimal and uniquely ergodic diffeomorphisms jointly with Fathi in \cite{FH} and continuing with exotic invariant sets of rational maps of the Riemann sphere \cite{H3}, and the construction of invariant tori with nonstandard and unexpected behavior in the context of KAM theory \cite{H1, H2}. Recently the method has been experiencing a revival. Some of the new results presented in the paper illustrate variety of uses for tools available for a long time, others exploit new methods, in particular possibility of mixing in the context of Liouvillean dynamics discovered by the first author \cite{F1, F2}. | |
| dc.description | Dedicated to the memory of Michel Herman | |
| dc.identifier | https://arxiv.org/abs/math/0501362 | |
| dc.identifier | http://arxiv.org/abs/math/0501362 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73921 | |
| dc.subject | Dynamical Systems | |
| dc.title | Constructions in elliptic dynamics | |
| dc.type | text |