Invariant Jordan curves of Sierpinski carpet rational maps
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
Published in
Ergodic Theory and Dynamical SystemsDate
2018Copyright
© 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.
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.
Publisher
Cambridge University PressISSN Search the Publication Forum
0143-3857Keywords
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