Non-rigidity for circle homeomorphisms with several break points

DOI10.1017/etds.2017.121zbMath1422.37027arXiv1512.03327OpenAlexW3103920197MaRDI QIDQ5227734

Habib Marzougui, Abdelhamid Adouani

Publication date: 7 August 2019

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

Full work available at URL: https://arxiv.org/abs/1512.03327

zbMATH Keywords

jumpsinvariant measurerotation numberHaar measurecircle diffeomorphismP-propertydifferentiable mapsirrational rotation numberD-propertybreak equivalence

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) Rotation numbers and vectors (37E45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

A remark on Denjoy's inequality for PL circle homeomorphisms with two break points, Conjugation between circle maps with several break points, On critical circle homeomorphisms with infinite number of break points, A circle diffeomorphism with breaks that is absolutely continuously linearizable, On the singularity of the conjugation between piecewise-smooth circle homeomorphisms, Non-rigidity for circle homeomorphisms with several break points, An Extention of Herman’s Theorem for Nonlinear Circle Maps with Two Breaks, A sufficient condition for \(C^1\)-smoothness of the conjugation between piecewise smooth circle homeomorphisms

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