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

^*此作品的通讯作者

数学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
页（从-至）	1393-1402
页数	10
期刊	Acta Mathematica Sinica, English Series
卷	26
期	7
DOI	https://doi.org/10.1007/s10114-010-6611-3
出版状态	已出版 - 7月 2010

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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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A note on a quadratic rational map with two Siegel disks

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