Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks

DOI10.1007/s00220-013-1706-1zbMath1280.37037OpenAlexW2115798635MaRDI QIDQ1955829

Alexey Teplinsky, Konstantin M. Khanin

Publication date: 19 June 2013

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

Full work available at URL: https://doi.org/10.1007/s00220-013-1706-1

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10)

Related Items (25)

Robust local Hölder rigidity of circle maps with breaks ⋮ Generic rigidity for circle diffeomorphisms with breaks ⋮ The symplectic structure for renormalization of circle diffeomorphisms with breaks ⋮ The Lorenz Renormalization Conjecture ⋮ On the renormalizations of circle homeomorphisms with several break points ⋮ Complex bounds for real maps ⋮ Some remarks on the geometry of circle maps with a break point ⋮ Circle homeomorphisms with breaks with no \(C^{2-\nu}\) conjugacy ⋮ Interval rearrangement ensembles ⋮ A priori bounds for GIETs, affine shadows and rigidity of foliations in genus two ⋮ Asymmetric unimodal maps with non-universal period-doubling scaling laws ⋮ On conjugacies between piecewise-smooth circle maps ⋮ Conjugation between circle maps with several break points ⋮ Absence of robust rigidity for circle maps with breaks ⋮ On conjugations of \(P\)-homeomorphisms ⋮ Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks ⋮ A circle diffeomorphism with breaks that is absolutely continuously linearizable ⋮ Robust rigidity for circle diffeomorphisms with singularities ⋮ The rigidity conjecture ⋮ C^1-rigidity of circle maps with breaks for almost all rotation numbers ⋮ Renormalization of symmetric bimodal maps with low smoothness ⋮ Renormalization of circle diffeomorphisms with a break-type singularity ⋮ Non-rigidity for circle homeomorphisms with several break points ⋮ A Sufficient Condition for Absolute Continuity of Conjugations between Interval Exchange Maps ⋮ Invariant manifolds for non-differentiable operators

Cites Work

• Unnamed Item
• Smooth conjugacy of circle diffeomorphisms with break
• Hyperbolic horseshoe for circle diffeomorphisms with break
• 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
• Renormalization horseshoe for critical circle maps
• Linearization of generalized interval exchange maps
• Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
• Affine interval exchange transformations with wandering intervals
• Rigidity for circle diffeomorphisms with singularities
• Rigidity of critical circle mappings II
• The attractor of renormalization and rigidity of towers of critical circle maps

This page was built for publication: Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks