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Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric
Published online by Cambridge University Press: 05 July 2016
Abstract
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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- Research Article
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- © Cambridge University Press, 2016
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