Smooth zero-entropy diffeomorphisms with ergodic derivative extension

DOI10.4171/CMH/478zbMath1444.37021OpenAlexW3016059106WikidataQ114021521 ScholiaQ114021521MaRDI QIDQ2179696

Philipp Kunde

Publication date: 13 May 2020

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/cmh/478

zbMATH Keywords

almost isometriesergodic diffeomorphismssmooth ergodic theoryconjugation methodprojectivization of tangent bundle

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Differential topological aspects of diffeomorphisms (57R50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Real-analytic AbC constructions on the torus ⋮ Spectral disjointness of powers of diffeomorphisms with arbitrary Liouvillean rotation behavior

Cites Work

• Construction of weakly mixing diffeomorphisms preserving measurable Riemannian metric and smooth measure. With an appendix by Alex Furman
• Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions
• Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior
• Nonstandard smooth realization of translations on the torus
• Constructions in elliptic dynamics
• Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric
• 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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