On piecewise class \(PC^r\) homeomorphisms of the circle which are piecewise \(C^ r (r\geq 1)\) conjugate to irrational rotations

DOI10.5802/AIF.2368zbMath1147.37024OpenAlexW2460613079MaRDI QIDQ931902

Habib Marzougui, Abdelhamid Adouani

Publication date: 4 July 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_3_755_0

zbMATH Keywords

conjugacysingular pointinvariant measurerotation numbersingular measurecircle mapsjumpHölder conditionbreak pointequivalent measurepiecewise class \(PC^r\) homeomorphism

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (4)

On piecewise smoothness of conjugacy of classPcircle homeomorphisms to diffeomorphisms and rotations ⋮ Conjugation between circle maps with several break points ⋮ Non-rigidity for circle homeomorphisms with several break points ⋮ A sufficient condition for \(C^1\)-smoothness of the conjugation between piecewise smooth circle homeomorphisms

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