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Rigidity of critical circle mappings II
Authors:Edson de Faria   Welington de Melo
Affiliation:Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, CEP05508-900 São Paulo SP - Brasil ; Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, CEP22460-320 Rio de Janeiro RJ - Brasil
Abstract:We prove that any two real-analytic critical circle maps with cubic critical point and the same irrational rotation number of bounded type are $C^{1+alpha }$ conjugate for some $alpha >0$.

Keywords:Holomorphic pairs   complex bounds   uniform twist   rigidity
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