Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric

DOI10.1017/etds.2015.125zbMath1378.37041OpenAlexW2461775714WikidataQ115337170 ScholiaQ115337170MaRDI QIDQ5364863

Philipp Kunde

Publication date: 28 September 2017

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/270457f0b625aaf7010aef7f7c86fbbc4b133489

zbMATH Keywords

Riemannian metricconjugation mapweak mixing diffeomorphism

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (9)

Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior ⋮ Smooth zero-entropy diffeomorphisms with ergodic derivative extension ⋮ Analytic weakly mixing diffeomorphisms on odd dimensional spheres ⋮ Real-analytic realization of uniform circular systems and some applications ⋮ Non-standard real-analytic realizations of some rotations of the circle ⋮ Non-standard real-analytic realizations of some rotations of the circle – CORRIGENDUM ⋮ Anatole Katok ⋮ Real-analytic AbC constructions on the torus ⋮ Spectral disjointness of powers of diffeomorphisms with arbitrary Liouvillean rotation behavior

Cites Work

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• Uniform rigidity sequences for weak mixing diffeomorphisms on \(\mathbb{D}^2\), \(\mathbb{A}\) and \(\mathbb{T}^2\)
• Nonstandard smooth realization of translations on the torus
• Analytic nonlinearizable uniquely ergodic diffeomorphisms on \mathbb T^{\mathbf{2}}
• Constructions in elliptic dynamics
• Non-standard smooth realizations of Liouville rotations
• Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary

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