Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric

On the torus $\mathbb{T}^{m}$ of dimension $m\geq 2$ we prove the existence of a real-analytic weak mixing diffeomorphism preserving a measurable Riemannian metric. The proof is based on a real-analytic version of the approximation by conjugation method with explicitly defined conjugation maps and p...

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Bibliographic Details
Published in:Ergodic theory and dynamical systems 2017-08, Vol.37 (5), p.1547-1569
Main Author: KUNDE, PHILIPP
Format: Article
Language:English
Subjects:
Approximation
Conjugation
Mathematical analysis
Toruses
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Summary:On the torus $\mathbb{T}^{m}$ of dimension $m\geq 2$ we prove the existence of a real-analytic weak mixing diffeomorphism preserving a measurable Riemannian metric. The proof is based on a real-analytic version of the approximation by conjugation method with explicitly defined conjugation maps and partition elements.
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2015.125