caa a22 4500 386377804 CHVBK 20180307112027.0 cr unu---uuuuu 161130e198912 xx s 000 0 eng 10.1017/S0143385700005277 doi S0143385700005277 pii (NATIONALLICENCE)cambridge-10.1017/S0143385700005277 The differentiability of the conjugation of certain diffeomorphisms of the circle [Elektronische Daten] Our purpose in this paper is to present a more or less complete solution to the problem of the smoothness of the conjugation of aperiodic diffeomorphisms of the circle. We show that the rotation number and the smoothness of the diffeomorphism guarantee a certain smoothness for the homeomorphism which conjugates it with a rigid rotation, and obtain the best smoothness that can be guaranteed. Copyright © Cambridge University Press 1989 Katznelson Y. Mathematics Department, Stanford University, Stanford CA 94305, USA Ornstein D. Mathematics Department, Stanford University, Stanford CA 94305, USA Ergodic Theory and Dynamical Systems Cambridge University Press 9/4(1989-12), 643-680 0143-3857 9:4<643 1989 9 ETS https://doi.org/10.1017/S0143385700005277 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0143385700005277 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Katznelson Y. Mathematics Department, Stanford University, Stanford CA 94305, USA NATIONALLICENCE 700 1- Ornstein D. Mathematics Department, Stanford University, Stanford CA 94305, USA NATIONALLICENCE 773 0- Ergodic Theory and Dynamical Systems Cambridge University Press 9/4(1989-12), 643-680 0143-3857 9:4<643 1989 9 ETS CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge