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Quasisymmetric invariance of the Collet–Eckmann condition

Published online by Cambridge University Press:  01 June 1998

DUNCAN SANDS  and
TOMASZ NOWICKI
DUNCAN SANDS
Affiliation:
Institute for Mathematical Sciences, SUNY at Stony Brook, NY 11794, USA
TOMASZ NOWICKI
Affiliation:
Instytut Matematyki Uw, Ul. Banacha 2, 02-097 Warszawa, Poland
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Abstract

The Collet–Eckmann condition is quasisymmetrically invariant: if an S-unimodal map $f$ is quasisymmetrically conjugate to an S-unimodal map $g$ then $f$ satisfies the Collet–Eckmann condition if and only if $g$ satisfies the Collet–Eckmann condition.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 3 , June 1998 , pp. 703 - 715
Copyright
© 1998 Cambridge University Press

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