Geodesic
Rigidity of critical circle mappings II
de Faria, Edson1 ; de Melo, Welington2
1 Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, CEP05508-900 São Paulo SP - Brasil
2 Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, CEP22460-320 Rio de Janeiro RJ - Brasil
Journal of the American Mathematical Society, Tome 13 (2000) no. 2, pp. 343-370

Voir la notice de l'article provenant de la source American Mathematical Society

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 $\alpha >0$.
DOI : 10.1090/S0894-0347-99-00324-0

de Faria, Edson 1 ; de Melo, Welington 2

1 Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, CEP05508-900 São Paulo SP - Brasil
2 Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, CEP22460-320 Rio de Janeiro RJ - Brasil 
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de Faria, Edson; de Melo, Welington. Rigidity of critical circle mappings II. Journal of the American Mathematical Society, Tome 13 (2000) no. 2, pp. 343-370. doi: 10.1090/S0894-0347-99-00324-0

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