Differentiability of conjugacies between dynamical systems of dimension 1

DOI10.5802/aif.1131zbMath0633.58018OpenAlexW2068311313MaRDI QIDQ1096219

Takashi Tsuboi, Étienne Ghys

Publication date: 1988

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_1_215_0

zbMATH Keywords

C r-conjugacydynamical system of dimension 1

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (11)

Locally free actions of solvable Lie groups ⋮ Sur l'invariance topologique de la classe de Godbillon-Vey. (On the topological invariance of the Godbillon-Vey class.) ⋮ Foliations of \(M^ 3\) defined by \({\mathbb R}^ 2\)-actions ⋮ On nilpotent Lie foliations ⋮ Mather invariant, distortion, and conjugates for diffeomorphisms of the interval ⋮ On one-dimensional dynamics in intermediary regularity ⋮ Deformations of Anosov flows and of Fuchsian groups ⋮ Differentiability, rigidity and Godbillon-Vey classes for Anosov flows ⋮ Injectivity of the quotient Bers embedding of Teichmüller spaces ⋮ Global rigidity of conjugations for locally non-discrete subgroups of \({\mathrm{Diff}}^{\omega} (S^1)\) ⋮ Differentiable rigidity of Fuchsian groups

Cites Work

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• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
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• Feuilletage et difféomorphismes infiniment tangents à l'identité
• Regular iteration of real and complex functions
• Normal forms for certain singularities of vectorfields
• Complex analytic dynamics on the Riemann sphere
• On Denjoy's theorem for endomorphisms
• Foliations and Pseudogroups

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