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Ergodic skew-systems on \mathbb{T}^d \times SO(3,\mathbb{R}}

Published online by Cambridge University Press:  30 September 2002

L. H. ELIASSON
L. H. ELIASSON
Affiliation:
Department of Mathematics, University of Paris 7, Paris, France (e-mail: hakane@math.jussieu.fr)
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Abstract

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Analytic quasi-periodic skew-systems with close to constant coefficients and with Diophantine frequencies seem to be, in a measure theoretical sense, ‘generically’ reducible. In this paper we show that such systems are, in a topological sense, generically uniquely ergodic and, in particular, non-reducible.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 5 , October 2002 , pp. 1429 - 1449
Copyright
© 2002 Cambridge University Press