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Quasisymmetric geometry of Sierpinski ca...

Qiu, Weiyuan...

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Quasisymmetric geometry of Sierpinski carpet Julia sets by Qiu, Weiyuan ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	In this paper, the main focus is on the Sierpinski carpet Julia sets of the rational maps with non-recurrent critical points. We study the uniform quasicircle property of the peripheral circles, the relatively separated property of the peripheral circles and the locally porous property of these carpets. We also establish some quasisymmetric rigidities of these carpets, which generalizes the main results of Bonk-Lyubich-Merenkov to the postcritically infinite case. In the end we give a strategy to construct a class of postcritically infinite rational maps whose Julia sets are quasisymetrically equivalent to some round carpets.
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/1403.2297

Citation

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AMA 11th EditionReferences

Qiu, Weiyuan. Quasisymmetric geometry of Sierpinski carpet Julia sets. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23223

APA 7th EditionReferences

Qiu, Weiyuan. (2023). Quasisymmetric geometry of Sierpinski carpet Julia sets. Australian National University. https://online.provdatabase.com/cite/23223

Chicago 17th EditionReferences

Qiu, Weiyuan. Quasisymmetric geometry of Sierpinski carpet Julia sets. Australian National University. 2023. https://online.provdatabase.com/cite/23223

HarvardReferences

Qiu, Weiyuan. (2023). Quasisymmetric geometry of Sierpinski carpet Julia sets. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23223. (Accessed 20 September 2024).

Harvard AustraliaReferences

Qiu, Weiyuan, 2023, Quasisymmetric geometry of Sierpinski carpet Julia sets, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23223>

MLA 9th EditionWorks Cited

Qiu, Weiyuan. Quasisymmetric geometry of Sierpinski carpet Julia sets. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23223.

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