Infinitely Renormalizable Quadratic Polynomials

Jiang, Yunping

doi:10.1090/S0002-9947-00-02514-9

Infinitely Renormalizable Quadratic Polynomials
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Trans. Amer. Math. Soc. 352 (2000), 5077-5091 Request permission

Abstract:

We prove that the Julia set of a quadratic polynomial which admits an infinite sequence of unbranched, simple renormalizations with complex bounds is locally connected. The method in this study is three-dimensional puzzles.

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