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Expanding endomorphisms of the circle revisited

Published online by Cambridge University Press:  19 September 2008

Michael Shub  and
Dennis Sullivan
Michael Shub
Affiliation:
Department of Mathematics, Queens Collegeand the Graduate School of CUNY, 33 West 42nd Street, New York, NY10036, USA
Dennis Sullivan
Affiliation:
IHES, 35 Rue de Chartres, 91440 Bures-sur-Yvette, France
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Abstract

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Two Cr, r ≥ 2, expanding maps of the circle which are absolutely continuously conjugate are Cr conjugate. Here ƒ and g: S1 → S1 are expanding if they stretch tangent vectors in some metric, and a conjugacy is an isomorphism h: S1 → S1 such that fh = hg.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 2 , June 1985 , pp. 285 - 289
Copyright
Copyright © Cambridge University Press 1985

References

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