Doctoral Dissertations
Date of Award
5-1999
Degree Type
Dissertation
Degree Name
Doctor of Philosophy
Major
Mathematics
Major Professor
Ken Stephenson
Committee Members
Conrad Plaut, Stefan Richter, Ken Stephenson
Abstract
We develop a discrete version of conformal welding for discs and half-planes. Using circle packings, we induce discrete welding maps which approximate the classical conformal welding maps. A type of converse is also developed, allowing the approximation of quasisymmetries given the conformal welding curves they induce. We also discuss the practical issues involved in computing the discrete maps.
Recommended Citation
Williams, George Brock, "Discrete conformal welding. " PhD diss., University of Tennessee, 1999.
https://trace.tennessee.edu/utk_graddiss/8955
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