Geodesic
Rigidity of smooth critical circle maps
Journal of the European Mathematical Society, Tome 19 (2017) no. 6, pp. 1729-1783
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We prove that any two C3 critical circle maps with the same irrational rotation number of bounded type and the same odd criticality are conjugate to each other by a C1+α circle diffeomorphism, for some universal α>0.
DOI : 10.4171/jems/704
Classification : 37-XX, 30-XX
Keywords: Critical circle maps, smooth rigidity, renormalization, commuting pairs. 
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     author = {Pablo Guarino and Welington de Melo},
     title = {Rigidity of smooth critical circle maps},
     journal = {Journal of the European Mathematical Society},
     pages = {1729--1783},
     year = {2017},
     volume = {19},
     number = {6},
     doi = {10.4171/jems/704},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/704/}
}
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Pablo Guarino; Welington de Melo. Rigidity of smooth critical circle maps. Journal of the European Mathematical Society, Tome 19 (2017) no. 6, pp. 1729-1783. doi: 10.4171/jems/704

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