Further dense properties of the space of circle diffeomorphisms with a Liouville rotation number

DOI10.1007/s10884-017-9592-4zbMath1426.37037OpenAlexW2607444820MaRDI QIDQ1994006

Philipp Kunde

Publication date: 6 November 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-017-9592-4

zbMATH Keywords

rotation numberorbit equivalenceodometercircle diffeomorphismsapproximation by conjugation-method

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Rotation numbers and vectors (37E45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• The action of diffeomorphism of the circle on the Lebesgue measure
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions
• A generic-dimensional property of the invariant measures for circle diffeomorphisms
• Dense properties of the space of circle diffeomorphisms with a Liouville rotation number
• Constructions in elliptic dynamics
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