Rotation number, invariant measures and ratio set of PL homeomorphisms of the circle.
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Publication:1777620
DOI10.5802/aif.2103zbMath1079.37033OpenAlexW2470590826MaRDI QIDQ1777620
Publication date: 25 May 2005
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_2_431_0
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)
Related Items (10)
Denominator bounds in Thompson-like groups and flows ⋮ A remark on Denjoy's inequality for PL circle homeomorphisms with two break points ⋮ On conjugacies between piecewise-smooth circle maps ⋮ Conjugation between circle maps with several break points ⋮ On piecewise class \(PC^r\) homeomorphisms of the circle which are piecewise \(C^ r (r\geq 1)\) conjugate to irrational rotations ⋮ Dynamics of affine interval transformations of Higman-Thompson groups \(V_{r, m}\) ⋮ On conjugations of circle homeomorphisms with two break points ⋮ Non-rigidity for circle homeomorphisms with several break points ⋮ An Extention of Herman’s Theorem for Nonlinear Circle Maps with Two Breaks ⋮ Rotation Numbers of Elements in Thompson's Group ${\bf T}$
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