The action of diffeomorphism of the circle on the Lebesgue measure

DOI10.1007/BF02798775zbMath0446.28016MaRDI QIDQ1145784

Yitzhak Katznelson

Publication date: 1979

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

classification of von Neumann factorsclassification theory for non-singular transformations on a Lebesgue spaceDye- equivalenceorbit-equivalenceweak-equivalence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) General groups of measure-preserving transformations (28D15)

Related Items (7)

Approximately Transitive Diffeomorphisms of the Circle ⋮ Dynamical directions in numeration ⋮ Diffeomorphisms of manifolds with nonsingular Poincaré flows ⋮ Further dense properties of the space of circle diffeomorphisms with a Liouville rotation number ⋮ Rotation number, invariant measures and ratio set of PL homeomorphisms of the circle. ⋮ Non-ITPFI diffeomorphisms ⋮ Examples of expanding \(C^1\) maps having no \(\sigma\)-finite invariant measure equivalent to Lebesgue

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Sigma-finite invariant measures for smooth mappings of the circle

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