Invariant Jordan curves of Sierpinski carpet rational maps
Abstract
Abstract. In this paper, we prove that if R : Cb → Cb is a postcritically finite rational
map with Julia set homeomorphic to the Sierpiński carpet, then there is an integer n0,
such that, for any n ≥ n0, there exists an R
n
-invariant Jordan curve Γ containing the
postcritical set of R.
Main Authors
Format
Articles
Research article
Published
2018
Series
Subjects
Publication in research information system
Publisher
Cambridge University Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201803161744Use this for linking
Review status
Peer reviewed
ISSN
0143-3857
DOI
https://doi.org/10.1017/etds.2016.47
Language
English
Published in
Ergodic Theory and Dynamical Systems
Citation
- Gao, Y., Haïssinsky, P., Meyer, D., & Zeng, J. (2018). Invariant Jordan curves of Sierpinski carpet rational maps. Ergodic Theory and Dynamical Systems, 38(2), 583-600. https://doi.org/10.1017/etds.2016.47
License
Copyright© Cambridge University Press, 2016. This is a final draft version of an article whose final and definitive form has been published by Cambridge University Press. Published in this repository with the kind permission of the publisher.