Rigidity of critical circle maps
Pablo GuarinoIMPA, Rio de Janeiro, BrazilMarco MartensInstituto de Matemática e Estatística, Universidade Federal FluminenseWelington de MeloIMPA, Rio de Janeiro, Brazil
2018en
ABI
Abstract
We prove that any two C4 critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a C1 circle diffeomorphism. The conjugacy is C1+α for a full Lebesgue measure set of rotation numbers.
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