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Topological and metrical conditions for Collet-Eckmann unimodal maps

Topological and metrical conditions for Collet-Eckmann unimodal maps In this paper we prove that Sands' topological condition for Collet-Eckmann maps implies Tsujii's metrical condition; on the other hand, if a Collet-Eckmann map satisfies Tsujii's metrical condition, then it satisfies Sands' topological condition. Thus we obtain three different versions of Benedicks-Carleson Theorem by using topological conditions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Topological and metrical conditions for Collet-Eckmann unimodal maps

Acta Mathematicae Applicatae Sinica , Volume 17 (3) – Jul 3, 2007

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References (20)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02677379
Publisher site
See Article on Publisher Site

Abstract

In this paper we prove that Sands' topological condition for Collet-Eckmann maps implies Tsujii's metrical condition; on the other hand, if a Collet-Eckmann map satisfies Tsujii's metrical condition, then it satisfies Sands' topological condition. Thus we obtain three different versions of Benedicks-Carleson Theorem by using topological conditions.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 3, 2007

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