NDLI: On critical circle homeomorphisms

Content Provider	Springer Nature Link
Author	Światek, Grzegorz
Copyright Year	1998
Abstract	We prove that an analytic circle homeomorphism without periodic orbits is conjugated to the linear rotation by a quasi-symmetric map if an only if its rotation number is of constant type. Next, we consider automorphisms of quasi-conformal Jordan curves, without periodic orbits and holomorphic in a neighborhood. We prove a “Denjoy theorem” that such maps are conjugated to a rotation on the circle.
Starting Page	329
Ending Page	351
Page Count	23
File Format	PDF
ISSN	01003569
Journal	Bulletin of the Brazilian Mathematical Society
Volume Number	29
Issue Number	2
e-ISSN	16787714
Language	English
Publisher	Springer-Verlag
Publisher Date	1998-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cross-ratio inequality quasi-symmetric conjugacy Denjoy theorem Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On critical circle homeomorphisms