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dc.contributor.advisorShipman, Patrick
dc.contributor.advisorŞahin, Ayşe
dc.contributor.authorSalvi, Niketa
dc.contributor.committeememberDangelmayr, Gerhard
dc.contributor.committeememberOprea, Iuliana
dc.contributor.committeememberWang, Haonan
dc.date.accessioned2007-01-03T05:53:57Z
dc.date.available2007-01-03T05:53:57Z
dc.date.issued2013
dc.description2013 Summer.
dc.descriptionIncludes bibliographical references.
dc.description.abstractIn measurable dynamics, one studies the measurable properties of dynamical systems. A recent surge of interest has been to study dynamical systems which have both a measurable and a topological structure. A nearly continuous Z-system consists of a Polish space X with a non-atomic Borel probability measure μ and an ergodic measure-preserving homeomorphism T on X . Let ƒ : X → R be a positive, nearly continuous function bounded away from 0 and ∞. This gives rise to a flow built over T under the function ƒ in the nearly continuous category. Rudolph proved a representation theorem in the 1970's, showing that any measurable flow, where the function ƒ is only assumed to be measure-preserving on a measurable Z-system, can be represented as a flow built under a function where the ceiling function takes only two values. We show that Rudolph's theorem holds in the nearly continuous category.
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.identifierSalvi_colostate_0053A_11885.pdf
dc.identifier.urihttp://hdl.handle.net/10217/80173
dc.languageEnglish
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019 - CSU Theses and Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectflow built under a function
dc.subjecttwo step flow
dc.subjectnearly continuous
dc.titleTwo-step coding theorem in the nearly continuous category
dc.typeText
dcterms.rights.dplaThe copyright and related rights status of this Item has not been evaluated (https://rightsstatements.org/vocab/CNE/1.0/). Please refer to the organization that has made the Item available for more information.
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)


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