Invariant Jordan curves of Sierpiski carpet rational maps

Abstract : In this paper, we prove that if R:Cˆ→Cˆ is a postcritically finite rational map with Julia set homeomorphic to the Sierpi\'nski carpet, then there is an integer n0, such that, for any n≥n0, there exists an Rn-invariant Jordan curve Γ containing the postcritical set of R.
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Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2018, 38 (2), pp.583 -- 600. 〈10.1017/etds.2016.47〉
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https://hal.archives-ouvertes.fr/hal-01228363
Contributeur : Peter Haïssinsky <>
Soumis le : vendredi 13 novembre 2015 - 08:31:33
Dernière modification le : lundi 4 mars 2019 - 14:04:19

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Yan Gao, Peter Haïssinsky, Daniel Meyer, Jinsong Zeng. Invariant Jordan curves of Sierpiski carpet rational maps. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2018, 38 (2), pp.583 -- 600. 〈10.1017/etds.2016.47〉. 〈hal-01228363〉

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