Discrete conformal welding

Author

George Brock Williams

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