| dc.contributor.author | Curtis, Andrew | |
| dc.date.accessioned | 2015-07-22T10:39:09Z | |
| dc.date.available | 2015-07-22T10:39:09Z | |
| dc.date.issued | 2014-08-14 | |
| dc.identifier.citation | Curtis, A. 2014. Two Families of Holomorphic Correspondences. Queen Mary University of London | en_US |
| dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/7978 | |
| dc.description | The copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without the prior written consent of the author | en_US |
| dc.description.abstract | Holomorphic correspondences are multivalued functions from the Riemann sphere to itself.
This thesis is concerned with a certain type of holomorphic correspondence known
as a covering correspondence. In particular we are concerned with a one complexdimensional
family of correspondences constructed by post-composing a covering correspondence
with a conformal involution. Correspondences constructed in this manner
have varied and intricate dynamics. We introduce and analyze two subfamilies of this
parameter space. The first family consists of correspondences for which the limit set is a
Cantor set, the second family consists of correspondences for which the limit set is connected
and for which the action of the correspondence on the complement of this limit set
exhibits certain group like behaviour. | en_US |
| dc.description.sponsorship | This work was supported by the Engineering and Physical Sciences Research Council. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Queen Mary University of London | en_US |
| dc.subject | Holomorphic correspondences | en_US |
| dc.subject | covering correspondence | en_US |
| dc.subject | Cantor set correspondences | en_US |
| dc.subject | Klein Combination Theorem | en_US |
| dc.subject | matings | en_US |
| dc.title | Two Families of Holomorphic Correspondences | en_US |
| dc.type | Thesis | en_US |
