Equivalence of Collet--Eckmann conditions for slowly recurrent rational maps

In this short note we observe that within the family of slowly recurrent rational maps on the Riemann sphere, the Collet–Eckmann, second Collet–Eckmann, and topological Collet–Eckmann conditions are equivalent and also invariant under topological conjugacy.

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Bibliographic Details
Published inConformal geometry and dynamics Vol. 26; no. 12; pp. 235 - 242
Main Author Bylund, Mats
Format Journal Article
LanguageEnglish
Published 20.12.2022
Subjects
Matematik
Mathematics
Natural Sciences
Naturvetenskap
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Summary:In this short note we observe that within the family of slowly recurrent rational maps on the Riemann sphere, the Collet–Eckmann, second Collet–Eckmann, and topological Collet–Eckmann conditions are equivalent and also invariant under topological conjugacy.
ISSN:1088-4173
1088-4173
DOI:10.1090/ecgd/378