Renormalization for Siegel discs

This thesis investigates the existence of Siegel discs for iterated complex maps and looks at the properties of their boundary curves for golden mean rotation number. The key tool used is the idea of a renormalization operator acting on a space of functions. Firstly, a computer-assisted proof is dis...

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Bibliographic Details
Main Author: Andrew D. Burbanks
Format: Default Thesis
Published: 1997
Subjects:
Online Access:https://hdl.handle.net/2134/27906
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