Ergodic skew-systems on \mathbb{T}^d \times SO(3,\mathbb{R}}
- 1 August 2002
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 22 (05) , 1429-1449
- https://doi.org/10.1017/s0143385702000998
Abstract
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.Keywords
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