EQUIVALENCE OF COLLET–ECKMANN CONDITIONS FOR SLOWLY RECURRENT RATIONAL MAPS
(2022) In Conformal Geometry and Dynamics 26. p.235-242- Abstract
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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/d760a36e-f614-42e8-ab42-510f8f800d8e
- author
- Bylund, Mats LU
- organization
- publishing date
- 2022
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Conformal Geometry and Dynamics
- volume
- 26
- pages
- 8 pages
- publisher
- American Mathematical Society (AMS)
- external identifiers
-
- scopus:85149666521
- ISSN
- 1088-4173
- DOI
- 10.1090/ecgd/378
- language
- English
- LU publication?
- yes
- id
- d760a36e-f614-42e8-ab42-510f8f800d8e
- date added to LUP
- 2023-04-04 11:21:36
- date last changed
- 2023-04-06 09:22:42
@article{d760a36e-f614-42e8-ab42-510f8f800d8e,
abstract = {{<p>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.</p>}},
author = {{Bylund, Mats}},
issn = {{1088-4173}},
language = {{eng}},
pages = {{235--242}},
publisher = {{American Mathematical Society (AMS)}},
series = {{Conformal Geometry and Dynamics}},
title = {{EQUIVALENCE OF COLLET–ECKMANN CONDITIONS FOR SLOWLY RECURRENT RATIONAL MAPS}},
url = {{http://dx.doi.org/10.1090/ecgd/378}},
doi = {{10.1090/ecgd/378}},
volume = {{26}},
year = {{2022}},
}