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dc.contributor.authorBerglund, Michael William
dc.date.accessioned2014-07-31T04:30:16Z
dc.date.available2014-07-31T04:30:16Z
dc.date.issued2014-05
dc.identifier.otherberglund_michael_w_201405_phd
dc.identifier.urihttp://purl.galileo.usg.edu/uga_etd/berglund_michael_w_201405_phd
dc.identifier.urihttp://hdl.handle.net/10724/30298
dc.description.abstractRandom walks of various types have been studied for more than a century. Recently, a new measure on the space of fi xed total length random walks in 2 and 3 dimensions was introduced. We will develop de Finetti-style results to help better understand this measure. Along the way, we will demonstrate how to apply these results to better understand these polygons by bounding the expectations of any locally determined quantity, such as curvature or torsion.
dc.languageeng
dc.publisheruga
dc.rightspublic
dc.subjectClosed random walk
dc.subjectstatistics on Riemannian manifolds
dc.subjectrandom knot
dc.subjectrandom polygon
dc.titleBounding expected values on random polygons
dc.typeDissertation
dc.description.degreePhD
dc.description.departmentMathematics
dc.description.majorMathematics
dc.description.advisorJason Cantarella
dc.description.committeeJason Cantarella
dc.description.committeeMichael Usher
dc.description.committeeTheodore Shifrin
dc.description.committeeWilliam Kazez


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