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• W2053159856 abstract "We prove that topologically conjugate non-renormalizable polynomials are quasi-conformally conjugate. From this we derive that each such polynomial can be approximated by a hyperbolic polynomial. As a by product we prove that the Julia set of a non-renormalizable polynomials with only hyperbolic periodic points is locally connected, and the Branner-Hubbard conjecture. The main tools are the enhanced nest construction (developed in a previous joint paper with Weixiao Shen) and a lemma of Kahn and Lyubich (for which we give an elementary proof in the real case)." @default.
• W2053159856 created "2016-06-24" @default.
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• W2053159856 date "2009-02-26" @default.
• W2053159856 modified "2023-10-18" @default.
• W2053159856 title "Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials" @default.
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• W2053159856 doi "https://doi.org/10.1112/plms/pdn055" @default.
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