11-102 Konstantin Khanin, Sasa Kocic, Elio Mazzeo
C^1-rigidity of circle diffeomorphisms with breaks for almost all rotation numbers (683K, pdf) Jun 28, 11
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Abstract. We prove that for almost all rotation numbers, every two $C^{2+lpha}$-smooth circle diffeomorphisms with a break point, with the same irrational rotation number and the same size of the break, are $C^{1}$-smoothly conjugate to each other, provided that the corresponding renormalizations approach asymptotically each other with an exponential rate.

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