Gao, Yan, Haïssinsky, Peter, Meyer, Daniel and Zeng, Jinsong
(2015)
Invariant Jordan curves of Sierpiski carpet rational maps.
Ergodic Theory and Dynamical Systems, 38 (2).
pp. 583-600.
Text
1511.02457v1.pdf - Author Accepted Manuscript Download (585kB) |
Official URL: http://dx.doi.org/10.1017/etds.2016.47
Abstract
In this paper, we prove that if $R\colon\widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ is a postcritically finite rational map with Julia set homeomorphic to the Sierpi\'nski carpet, then there is an integer $n_0$, such that, for any $n\ge n_0$, there exists an $R^n$-invariant Jordan curve $\Gamma$ containing the postcritical set of $R$.
Item Type: | Article |
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Additional Information: | 16 pages, 1 figue |
Uncontrolled Keywords: | math.DS, math.DS, 37F10 |
Depositing User: | Symplectic Admin |
Date Deposited: | 10 Dec 2018 10:54 |
Last Modified: | 19 Jan 2023 01:09 |
DOI: | 10.1017/etds.2016.47 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3029820 |
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