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The high type quadratic Siegel disks are...

Shishikura, Mitsuhir...

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The high type quadratic Siegel disks are Jordan domains by Shishikura, Mitsuhiro ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	09-08-2023
Summary	Let $\alpha$ be an irrational number of sufficiently high type and suppose $P_\alpha(z)=e^{2\pi i\alpha}z+z^2$ has a Siegel disk $\Delta_\alpha$ centered at the origin. We prove that the boundary of $\Delta_\alpha$ is a Jordan curve, and that it contains the critical point $-e^{2\pi i\alpha}/2$ if and only if $\alpha$ is a Herman number.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1608.04106

Citation

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AMA 11th EditionReferences

Shishikura, Mitsuhiro. The high type quadratic Siegel disks are Jordan domains. Australian National University. August 09, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/13912

APA 7th EditionReferences

Shishikura, Mitsuhiro. (2023). The high type quadratic Siegel disks are Jordan domains. Australian National University. https://online.provdatabase.com/cite/13912

Chicago 17th EditionReferences

Shishikura, Mitsuhiro. The high type quadratic Siegel disks are Jordan domains. Australian National University. 2023. https://online.provdatabase.com/cite/13912

HarvardReferences

Shishikura, Mitsuhiro. (2023). The high type quadratic Siegel disks are Jordan domains. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/13912. (Accessed 02 October 2025).

Harvard AustraliaReferences

Shishikura, Mitsuhiro, 2023, The high type quadratic Siegel disks are Jordan domains, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/13912>

MLA 9th EditionWorks Cited

Shishikura, Mitsuhiro. The high type quadratic Siegel disks are Jordan domains. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/13912.

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