On Nearly Euclidean Thurston Maps

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dc.contributor.authorSaenz Maldonado, Edgar Arturoen
dc.contributor.committeechairFloyd, William J.en
dc.contributor.committeememberHagedorn, George A.en
dc.contributor.committeememberHaskell, Peter E.en
dc.contributor.committeememberKay, Leslie D.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:11:50Zen
dc.date.adate2012-06-08en
dc.date.available2014-03-14T20:11:50Zen
dc.date.issued2012-05-01en
dc.date.rdate2012-06-08en
dc.date.sdate2012-05-10en
dc.description.abstractNearly Euclidean Thurston maps are simple generalizations of rational Lattes maps. A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. We investigate when such a map has the property that the associated pullback map on Teichmuller space is constant. We also show that no Thurston map of degree 2 has constant pullback map.en
dc.description.degreePh. D.en
dc.identifier.otheretd-05102012-234227en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05102012-234227/en
dc.identifier.urihttp://hdl.handle.net/10919/27637en
dc.publisherVirginia Techen
dc.relation.haspartSaenz_EA_D_2012.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectnonseparating setsen
dc.subjectconstant pullback mapen
dc.subjectfinite subdivision rulesen
dc.subjectThurston mapsen
dc.titleOn Nearly Euclidean Thurston Mapsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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