Generic rigidity for circle diffeomorphisms with breaks

DOI10.1007/s00220-016-2615-xzbMath1380.37083OpenAlexW2346088253MaRDI QIDQ291948

Saša Kocić

Publication date: 10 June 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-016-2615-x

zbMATH Keywords

Diophantine rotation numbergeneric rigiditysmooth conjugacy

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Rotation numbers and vectors (37E45)

Related Items (9)

Robust local Hölder rigidity of circle maps with breaks ⋮ On the renormalizations of circle homeomorphisms with several break points ⋮ Some remarks on the geometry of circle maps with a break point ⋮ On the smoothness of the conjugacy between circle maps with a break ⋮ Circle homeomorphisms with breaks with no \(C^{2-\nu}\) conjugacy ⋮ Rigidity for piecewise smooth circle homeomorphisms and certain GIETs ⋮ C^1-rigidity of circle maps with breaks for almost all rotation numbers ⋮ A Sufficient Condition for Absolute Continuity of Conjugations between Interval Exchange Maps ⋮ Hausdorff dimension of invariant measure of circle diffeomorphisms with a break point

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks
• Robust rigidity for circle diffeomorphisms with singularities
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Renormalizations and rigidity theory for circle homeomorphisms with singularities of the break type
• Hyperbolicity of renormalization of critical circle maps
• Linearization of generalized interval exchange maps
• Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks
• Rigidity of critical circle mappings. I
• On rigidity of critical circle maps
• Rigidity for piecewise smooth homeomorphisms on the circle
• Absence of robust rigidity for circle maps with breaks
• Renormalization for piecewise smooth homeomorphisms on the circle
• Examples of C 1-smoothly conjugate diffeomorphisms of the circle with break that are not C 1+γ -smoothly conjugate
• Smoothness of conjugacies of diffeomorphisms of the circle with rotations
• Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
• Rigidity of critical circle mappings II

This page was built for publication: Generic rigidity for circle diffeomorphisms with breaks