A characterization of the tail _-field for certain Markov chains

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dc.contributor.advisorJones, Franken_US
dc.creatorBachman, Howard Floyden_US
dc.date.accessioned2016-04-22T21:59:43Zen_US
dc.date.available2016-04-22T21:59:43Zen_US
dc.date.issued1972en_US
dc.description.abstractIf C(v,P) is a countable state, recurrent, aperiodic and irreducible Markov Chain with stationary probabilities, the measure of any set of the tail a-field is equal to either zero or one. Although recurrent Markov chains have trivial tail a-fields this is not in general true for transient chains. However the tail g-field for two merging independent Markov chains is trivial. Investigating the invariant measurable sets of 0 leads to the solution of a functional equation of the general form pf = f.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent36 ppen_US
dc.identifier.callnoThesis Math. 1972 Bachmannen_US
dc.identifier.citationBachman, Howard Floyd. "A characterization of the tail _-field for certain Markov chains." (1972) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/90089">https://hdl.handle.net/1911/90089</a>.en_US
dc.identifier.digitalRICE1125en_US
dc.identifier.urihttps://hdl.handle.net/1911/90089en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.titleA characterization of the tail _-field for certain Markov chainsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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