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- W4299113105 abstract "We prove that two $C^r$ critical circle maps with the same rotation number of bounded type are $C^{1+alpha}$ conjugate for some $alpha>0$ provided their successive renormalizations converge together at an exponential rate in the $C^0$ sense. The number $alpha$ depends only on the rate of convergence. We also give examples of $C^infty$ critical circle maps with the same rotation number that are not $C^{1+beta}$ conjugate for any $beta>0$." @default.
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- W4299113105 date "1997-11-14" @default.
- W4299113105 modified "2023-09-25" @default.
- W4299113105 title "Rigidity of critical circle mappings, I" @default.
- W4299113105 doi "https://doi.org/10.48550/arxiv.math/9711214" @default.
- W4299113105 hasPublicationYear "1997" @default.
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