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dc.creatorMurphy, Eric Michael
dc.date.available2011-02-18T19:50:49Z
dc.date.issued2005-08
dc.identifier.urihttp://hdl.handle.net/2346/12143en_US
dc.description.abstractUsing 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.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.subjectTeichmulleren_US
dc.subjectEarthquakeen_US
dc.subjectCircle packingen_US
dc.titleDiscrete conformal approximation of complex earthquake maps
dc.typeDissertation
thesis.degree.namePh.D.
thesis.degree.levelDoctoral
thesis.degree.grantorTexas Tech University
thesis.degree.departmentMathematics
dc.contributor.committeeMemberPearce, Kent
dc.contributor.committeeMemberAllen, Edward J.
dc.contributor.committeeChairWilliams, G. Brock
dc.contributor.committeeChairBarnard, Roger W.
dc.rights.availabilityUnrestricted.


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