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The conjugacy of Collet–Eckmann's map of the interval with the tent map is Holder continuous

Published online by Cambridge University Press:  19 September 2008

T. Nowicki  and
F. Przytycki
T. Nowicki
Affiliation:
Department of Mathematics, Warsaw University, 0091 Warsaw, Poland
F. Przytycki
Affiliation:
Mathematics Institute, Polish Academy of Sciences, Sniadeckich 8, 00–950 Warsaw, Poland
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Abstract

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It is proved that a homeomorphism h, which conjugates a smooth unimodal map of the interval with negative Schwarzian derivative and positive Lyapunov exponent along the forward trajectory of the critical value with a tent map, and its inverse h−1 are Hölder continuous.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 9 , Issue 2 , June 1989 , pp. 379 - 388
Copyright
Copyright © Cambridge University Press 1989

References

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