Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions

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dc.contributor.authorWilkerson, Maryen
dc.contributor.committeechairFloyd, William J.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.committeememberKay, Leslie D.en
dc.contributor.committeememberHaskell, Peter E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:11:41Zen
dc.date.adate2012-05-25en
dc.date.available2014-03-14T20:11:41Zen
dc.date.issued2012-04-24en
dc.date.rdate2012-05-25en
dc.date.sdate2012-05-07en
dc.description.abstractCombinatorial methods are utilized to examine preimage iterations of topologically glued polynomials. In particular, this paper addresses using finite subdivision rules and Hubbard trees as tools to model the dynamic behavior of mated quadratic functions. Several methods of construction of invariant structures on modified degenerate matings are detailed, and examples of parameter-based families of matings for which these methods succeed (and fail) are given.en
dc.description.degreePh. D.en
dc.identifier.otheretd-05072012-142700en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05072012-142700/en
dc.identifier.urihttp://hdl.handle.net/10919/27581en
dc.publisherVirginia Techen
dc.relation.haspartWilkerson_ME_D_2012.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectCombinatorial Dynamicsen
dc.subjectHubbard Treesen
dc.subjectMatingsen
dc.subjectFinite Subdivision Rulesen
dc.titleFinite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructionsen
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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