Real and Complex Dynamics of Unicritical Maps

In this thesis, we prove two results. The first concerns the dynamics of typical maps in families of higher degree unimodal maps, and the second concerns the Hausdorff dimension of the Julia sets of certain quadratic maps. In the first part, we construct a lamination of the space of unimodal maps...

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Bibliographic Details
Main Author: Clark, Trevor Collin
Other Authors: Lyubich, Mikhail
Language:en_ca
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/1807/24719