A Note on the Conjugacy Between Two Critical Circle Maps

DOI10.17516/1997-1397-2021-14-3-287-300OpenAlexW3179123449MaRDI QIDQ5071349

Utkir Safarov

Publication date: 21 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu914

zbMATH Keywords

singular functioncritical pointrotation numbercircle homeomorphismconjugating map

Mathematics Subject Classification ID

Ergodic theory (37Axx) Smooth dynamical systems: general theory (37Cxx) Low-dimensional dynamical systems (37Exx)

Cites Work

• Robust rigidity for circle diffeomorphisms with singularities
• Rational rotation numbers for maps of the circle
• On an invariant measure for homeomorphisms of a circle with a point of break
• Singular measures in circle dynamics
• Rigidity of critical circle maps
• Rigidity of critical circle mappings. I
• On rigidity of critical circle maps
• Smoothness of conjugacies of diffeomorphisms of the circle with rotations
• Universal estimates for critical circle mappings
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