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Analytic nonlinearizable uniquely ergodic diffeomorphisms on T-2
KTH, Superseded Departments, Mathematics.
2003 (English)In: Ergodic Theory and Dynamical Systems, ISSN 0143-3857, E-ISSN 1469-4417, Vol. 23, 935-955 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we study the behavior of diffeomorphisms, contained in the closure (A) over bar (alpha) (in the inductive limit topology) of the set A(alpha) of real-analytic diffeomorphisms of the torus T-2, which are conjugated to the rotation R-alpha : (x, y) hooked right arrow (x+alpha, y) by an analytic measure-preserving transformation. We show that for a generic alpha is an element of [0, 1], (A) over bar (alpha) contains a dense set of uniquely ergodic diffeomorphisms. We also prove that (A) over bar (alpha) contains a dense set of diffeomorphisms that are minimal and non-ergodic.

Place, publisher, year, edition, pages
2003. Vol. 23, 935-955 p.
Keyword [en]
FLOWS, TORUS
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-13920DOI: 10.1017/S0143385702001542ISI: 000184382900015OAI: oai:DiVA.org:kth-13920DiVA: diva2:328236
Note
QC 20100702Available from: 2010-07-02 Created: 2010-07-02 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Non-linearizability, unique ergodicity and weak mixing in dynamics
Open this publication in new window or tab >>Non-linearizability, unique ergodicity and weak mixing in dynamics
2003 (English)Doctoral thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH, 2003. xvii p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 2003:05
Keyword
Ergodicity, weak mixing, Hamiltonian systems
National Category
Mathematics
Identifiers
urn:nbn:se:kth:diva-3610 (URN)91-7283-585-0 (ISBN)
Public defence
2003-10-06, 00:00
Note
QC 20100702Available from: 2003-10-01 Created: 2003-10-01 Last updated: 2010-07-02Bibliographically approved

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  • apa
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