Robust rigidity for circle diffeomorphisms with singularities
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Publication:948623
DOI10.1007/s00222-007-0047-0zbMath1151.37035OpenAlexW2052596014MaRDI QIDQ948623
Konstantin M. Khanin, Alexey Teplinsky
Publication date: 17 October 2008
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00222-007-0047-0
Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Universality and renormalization of dynamical systems (37E20)
Related Items (33)
Robust local Hölder rigidity of circle maps with breaks ⋮ Smooth conjugacy of circle diffeomorphisms with break ⋮ Generic rigidity for circle diffeomorphisms with breaks ⋮ Rigidity of smooth critical circle maps ⋮ Quasisymmetric orbit-flexibility of multicritical circle maps ⋮ Dynamics on the Circle ⋮ A Note on the Conjugacy Between Two Critical Circle Maps ⋮ Hyperbolic horseshoe for circle diffeomorphisms with break ⋮ Some remarks on the geometry of circle maps with a break point ⋮ A remark on Denjoy's inequality for PL circle homeomorphisms with two break points ⋮ Real bounds and Lyapunov exponents ⋮ Circle homeomorphisms with breaks with no \(C^{2-\nu}\) conjugacy ⋮ Asymptotically holomorphic methods for infinitely renormalizable unimodal maps ⋮ Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents ⋮ Rigidity for piecewise smooth circle homeomorphisms and certain GIETs ⋮ Renormalization of bicritical circle maps ⋮ Automorphic measures and invariant distributions for circle dynamics ⋮ Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks ⋮ Absence of robust rigidity for circle maps with breaks ⋮ On conjugations of \(P\)-homeomorphisms ⋮ Renormalizations of circle homeomorphisms with a single break point ⋮ Renormalization and conjugacy of piecewise linear Lorenz maps ⋮ Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks ⋮ Real bounds and quasisymmetric rigidity of multicritical circle maps ⋮ The rigidity conjecture ⋮ Beau bounds for multicritical circle maps ⋮ On rigidity of critical circle maps ⋮ C^1-rigidity of circle maps with breaks for almost all rotation numbers ⋮ Rigidity of critical circle maps ⋮ Renormalization in one-dimensional dynamics ⋮ Renormalization of circle diffeomorphisms with a break-type singularity ⋮ Dynamics of multicritical circle maps ⋮ Invariant manifolds for non-differentiable operators
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