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dc.contributor.advisorWolf, Christianen_US
dc.contributor.authorKaufmann, Jacie L.
dc.date.accessioned2006-12-02
dc.date.available2006-12-02
dc.date.copyright2006en
dc.date.issued2006-05
dc.identifier.othert06032
dc.identifier.urihttp://hdl.handle.net/10057/341
dc.descriptionThesis (M.S.)--Wichita State University, Dept. of Mathematics and Statistics.en
dc.description"May 2006."en
dc.descriptionIncludes bibliographic references (leaves 30-32)en
dc.description.abstractWe present three original results for the dynamics of rational maps on the Riemann sphere. Using methods from dimension and ergodic theory, we discuss generalized physical measures and prove their existence for hyperbolic and some parabolic rational maps. This shows that there are sets of typical points for these maps having maximal dimension. We then show that for any NCP rational map, the set of non-typical, or divergence, points is also of maximal dimension. Finally, we examine holomorphic families of stable rational maps and show that the dimension of the maps depends plurisubharmonically on the parameters.en
dc.format.extent215389 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen
dc.rightsCopyright Jacie L.Kaufmann, 2006. All rights reserved.en
dc.subject.lcshElectronic dissertationsen
dc.titleTypical points, invariant measures, and dimension for rational maps on the Riemann sphereen
dc.typeThesisen
dc.identifier.oclc74155076


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