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dc.contributor.authorRoinestad, Kristine A.en_US
dc.date.accessioned2007-05-22en_US
dc.date.accessioned2014-03-14T20:36:18Z
dc.date.available2007-05-22en_US
dc.date.available2014-03-14T20:36:18Z
dc.date.issued2007-05-08en_US
dc.date.submitted2007-05-11en_US
dc.identifier.otheretd-05112007-130841en_US
dc.identifier.urihttp://hdl.handle.net/10919/32581
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_US
dc.publisherVirginia Techen_US
dc.relation.haspartKAROINESTAD.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectSelf-Similarityen_US
dc.subjectCantor Setsen_US
dc.subjectBilipschitz Equivalenceen_US
dc.titleGeometry of Self-Similar Setsen_US
dc.typethesisen_US
dc.contributor.departmentMathematicsen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
dc.contributor.committeechairHaskell, Peter E.en_US
dc.contributor.committeememberDay, Martin V.en_US
dc.contributor.committeememberThomson, James E.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05112007-130841/en_US


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