Rigidity for circle diffeomorphisms with singularities

DOI10.1070/RM2004v059n02ABEH000722zbMath1054.37018OpenAlexW2078479496MaRDI QIDQ4829864

A. Yu. Teplinskij, Konstantin M. Khanin

Publication date: 1 December 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2004v059n02abeh000722

zbMATH Keywords

attractorrenormalizationglobal hyperbolicitySmale horseshoerigidity theorycritical circle mapsmaps with singularitiesdiffeomorphisms with a break point

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) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (8)

Circle homeomorphisms with breaks with no \(C^{2-\nu}\) conjugacy ⋮ On absolute continuity of conjugations between circle maps with break points ⋮ Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks ⋮ On conjugations of \(P\)-homeomorphisms ⋮ Renormalization and conjugacy of piecewise linear Lorenz maps ⋮ Robust rigidity for circle diffeomorphisms with singularities ⋮ On conjugations of circle homeomorphisms with two break points ⋮ Conjugations between circle maps with a single break point

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