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Two-step coding theorem in the nearly continuous category

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dc.contributor.authorSalvi, Niketa, author
dc.contributor.authorShipman, Patrick, advisor
dc.contributor.authorŞahin, Ayşe, advisor
dc.contributor.authorDangelmayr, Gerhard, committee member
dc.contributor.authorOprea, Iuliana, committee member
dc.contributor.authorWang, Haonan, committee member
dc.date.accessioned2007-01-03T05:53:57Z
dc.date.available2007-01-03T05:53:57Z
dc.date.issued2013
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.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
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.dplaThis Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)

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