Discrete conformal approximation of complex earthquake maps

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Discrete conformal approximation of complex earthquake maps

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dc.contributor.author Murphy, Eric Michael en_US
dc.creator Murphy, Eric Michael en_US
dc.date.available 2011-02-18T19:50:49Z en_US
dc.date.issued 2005-08 en_US
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. en_US
dc.language.iso en_US en_US
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
dc.contributor.committeeMember Pearce, Kent en_US
dc.contributor.committeeMember Allen, Edward J. en_US
dc.contributor.committeeChair Williams, G. Brock en_US
dc.contributor.committeeChair Barnard, Roger W. en_US
dc.degree.department Mathematics en_US
dc.degree.discipline Mathematics en_US
dc.degree.grantor Texas Tech University en_US
dc.degree.level Doctoral en_US
dc.degree.name Ph.D. en_US
dc.rights.availability unrestricted en_US

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