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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Published in:Ergodic theory and dynamical systems 2017-08, Vol.37 (5), p.1547-1569
Main Author: KUNDE, PHILIPP
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Language:English
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Approximation
Conjugation
Mathematical analysis
Toruses
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description 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.
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subjects Approximation
Conjugation
Mathematical analysis
Toruses
title Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric
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