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Packings of Conformal Preimages of Circles

Date Issued
May 1, 2006
Author(s)
Cathey, Matthew Edward
Advisor(s)
Kenneth Stephenson
Additional Advisor(s)
Charles Collins
Morwen Thistlethwaite
Bradley Vander Zanden
Permanent URI
https://trace.tennessee.edu/handle/20.500.14382/22593
Abstract

This dissertation provides existence and uniqueness results for packings of conformal preimages of circles in the unit disk. Examples are given showing how these results can be applied in more general situations, such as finite- and infinite-to-one covers of the punctured plane.

Disciplines
Mathematics
Degree
Doctor of Philosophy
Major
Mathematics
Embargo Date
May 1, 2006
File(s)
Thumbnail Image
Name

CatheyMatthew.pdf

Size

869.46 KB

Format

Adobe PDF

Checksum (MD5)

37c7feb97e12c27f178893faa0f4baa7


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