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Journal articles
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.
https://hal.archives-ouvertes.fr/hal-01228363
Contributor : Peter Haïssinsky <>
Submitted on : Friday, November 13, 2015 - 8:31:33 AM
Last modification on : Thursday, May 28, 2020 - 3:16:03 PM
Contributor : Peter Haïssinsky <>
Submitted on : Friday, November 13, 2015 - 8:31:33 AM
Last modification on : Thursday, May 28, 2020 - 3:16:03 PM
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