Geometry of Self-Similar Sets

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dc.contributor.authorRoinestad, Kristine A.en
dc.contributor.committeechairHaskell, Peter E.en
dc.contributor.committeememberDay, Martin V.en
dc.contributor.committeememberThomson, James E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:36:18Zen
dc.date.adate2007-05-22en
dc.date.available2014-03-14T20:36:18Zen
dc.date.issued2007-05-08en
dc.date.rdate2007-05-22en
dc.date.sdate2007-05-11en
dc.description.abstractThis paper examines self-similar sets and some of their properties, including the natural equivalence relation found in bilipschitz equivalence. Both dimension and preservation of paths are determined to be invariant under this equivalence. Also, sophisticated techniques, one involving the use of directed graphs, show the equivalence of two spaces.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05112007-130841en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05112007-130841/en
dc.identifier.urihttp://hdl.handle.net/10919/32581en
dc.publisherVirginia Techen
dc.relation.haspartKAROINESTAD.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSelf-Similarityen
dc.subjectCantor Setsen
dc.subjectBilipschitz Equivalenceen
dc.titleGeometry of Self-Similar Setsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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