Discrete conformal approximation of complex earthquake maps

DSpace/Manakin Repository

Discrete conformal approximation of complex earthquake maps

Show simple item record


dc.creator Murphy, Eric Michael
dc.date.available 2011-02-18T19:50:49Z
dc.date.issued 2005-08
dc.identifier.uri http://hdl.handle.net/2346/12143 en_US
dc.description.abstract Using the techniques of circle packing, we construct discrete conformal approximations for complex earthquake maps on the Teichmüller spaces of compact, hyperbolic Riemann surfaces developed by William Thurston and Curtis McMullen, and we show that these approximations are convergent. We then describe earthquake maps on the Teichmüller spaces of compact, Euclidean Riemann surfaces, extending the work of Thurston and McMullen. Using the discrete conformal approximations developed for hyperbolic surfaces, we approximate the action of these new maps with circle packing.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Texas Tech University en_US
dc.subject teichmuller en_US
dc.subject earthquake en_US
dc.subject circle packing en_US
dc.title Discrete conformal approximation of complex earthquake maps en_US
dc.type Electronic Dissertation en_US
thesis.degree.name Ph.D.
thesis.degree.level Doctoral
thesis.degree.grantor Texas Tech University
thesis.degree.department Mathematics
dc.contributor.committeeMember Pearce, Kent
dc.contributor.committeeMember Allen, Edward J.
dc.contributor.committeeChair Williams, G. Brock
dc.contributor.committeeChair Barnard, Roger W.
dc.rights.availability Unrestricted.

Files in this item

Files Size Format View
Murphy_Eric_Diss.pdf 13.59Mb PDF View/Open

This item appears in the following Collection(s)

Show simple item record

Browse

My Account