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Topological characterisation of rational maps with Siegel disks
Published online by Cambridge University Press: 10 February 2021
Abstract
We extend Thurston’s topological characterisation theorem for postcritically finite rational maps to a class of rational maps which have a fixed bounded type Siegel disk. This makes a small step towards generalizing Thurston’s theorem to geometrically infinite rational maps.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 172 , Issue 1 , January 2022 , pp. 1 - 41
- Copyright
- © Cambridge Philosophical Society 2021
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