On rigidity of critical circle maps

DOI10.1007/s00574-013-0027-5zbMath1314.37028OpenAlexW2003883541MaRDI QIDQ2015837

Artur Avila

Publication date: 24 June 2014

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-013-0027-5

zbMATH Keywords

rigiditycritical circle maps

Mathematics Subject Classification ID

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) Rotation numbers and vectors (37E45)

Related Items (16)

Robust local Hölder rigidity of circle maps with breaks ⋮ 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 ⋮ Real bounds and Lyapunov exponents ⋮ Circle homeomorphisms with breaks with no \(C^{2-\nu}\) conjugacy ⋮ Renormalization of bicritical circle maps ⋮ Asymmetric unimodal maps with non-universal period-doubling scaling laws ⋮ Absence of robust rigidity for circle maps with breaks ⋮ Real bounds and quasisymmetric rigidity of multicritical circle maps ⋮ Robust rigidity for circle diffeomorphisms with singularities ⋮ Beau bounds for multicritical circle maps ⋮ Rigidity of critical circle maps ⋮ Dynamics of multicritical circle maps

Cites Work

• Robust rigidity for circle diffeomorphisms with singularities
• Rigidity of critical circle mappings. I
• Rigidity of critical circle mappings II
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