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Metric properties of non-renormalizable S-unimodal maps: II. Quasisymmetric conjugacy classes

Published online by Cambridge University Press:  14 October 2010

M. Jakobson  and
G. Świạtek
M. Jakobson
Affiliation:
Mathematics Department, University of Maryland, College Park, MD 20742, USA†
G. Świạtek
Affiliation:
Mathematics Department, Penn State University, Mc Allister 209, University Park, PA 16802, USA‡
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Abstract

It is shown that for certain classes of S-unimodal maps with aperiodic kneading sequences, the topological conjugacies are also quasisymmetric. This includes some infinitely renormalizable polynomials of unbounded type.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 5 , October 1995 , pp. 871 - 938
Copyright
Copyright © Cambridge University Press 1995

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