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Title: Rational maps represented by both rabbit and aeroplane matings
Author: Exall, Freddie
ISNI:       0000 0004 2707 4405
Awarding Body: University of Liverpool
Current Institution: University of Liverpool
Date of Award: 2011
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Understanding parameter spaces of rational maps is an active area of complex dynamics. There is a region of a particular parameter space of rational maps which contains all possible matings with the rabbit polynomial in a well understood manner. In an effort to further understand which hyperbolic components of the parameter space correspond to matings with the aeroplane we relate the family of matings with the aeroplane to the family of matings with the rabbit. We present an algorithm, described in chapter 3, which calculates the mating with the rabbit which is Thurston equivalent to a given post-critically finite mating with the aeroplane. Chapter 4 gives a result describing which matings with the rabbit are Thurston equivalent to some mating with the aeroplane. Chapter 5 studies the algorithm in more detail, giving results bounding the number of steps required for the algorithm to produce a result.
Supervisor: Rees, Mary ; Rempe, Lasse Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
Keywords: QA Mathematics