A note on a quadratic rational map with two Siegel disks

Liang Shen; Sheng Jian Wu

doi:10.1007/s10114-010-6611-3

A note on a quadratic rational map with two Siegel disks

Liang Shen^*, Sheng Jian Wu

^*Corresponding author for this work

School of Mathematics and Statistics

Peking University

Research output: Contribution to journal › Article › peer-review

Abstract

Suppose f(z) is a quadratic rational map with two Siegel disks. If the rotation numbers of the Siegel disks are both of bounded type, the Hausdorff dimension of the Julia set satisfies Dim (J(f) < 2.

Original language	English
Pages (from-to)	1393-1402
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	26
Issue number	7
DOIs	https://doi.org/10.1007/s10114-010-6611-3
Publication status	Published - Jul 2010

Keywords

Hausdorff dimension
Porous set
Siegel disk

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10.1007/s10114-010-6611-3

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Shen, L., & Wu, S. J. (2010). A note on a quadratic rational map with two Siegel disks. Acta Mathematica Sinica, English Series, 26(7), 1393-1402. https://doi.org/10.1007/s10114-010-6611-3

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author = "Liang Shen and Wu, {Sheng Jian}",

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A note on a quadratic rational map with two Siegel disks

Abstract

Keywords

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