Isospectral dynamics of reflectionless Jacobi operators

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dc.contributor.advisorDamanik, Daviden_US
dc.creatorVandenBoom, Tomen_US
dc.date.accessioned2019-05-17T14:36:54Zen_US
dc.date.available2019-05-17T14:36:54Zen_US
dc.date.created2018-05en_US
dc.date.issued2018-04-02en_US
dc.date.submittedMay 2018en_US
dc.date.updated2019-05-17T14:36:54Zen_US
dc.description.abstractThis thesis focuses on the isospectral torus of reflectionless Jacobi operators and the dynamics of its automorphisms. The novel perspective which it hopes to advertise is one of the joint utility of inverse spectral theoretic techniques and dynamical techniques to address direct and inverse spectral problems, respectively. Concretely, we use the former perspective to prove the reducibility of the shift cocycle for certain reflectionless Jacobi operators, and we use the latter perspective to prove spectral atypicality of discrete Schroedinger operators.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationVandenBoom, Tom. "Isospectral dynamics of reflectionless Jacobi operators." (2018) Diss., Rice University. <a href="https://hdl.handle.net/1911/105699">https://hdl.handle.net/1911/105699</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/105699en_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.subjectMathematical physicsen_US
dc.subjectJacobi operatorsen_US
dc.subjectdynamical systemsen_US
dc.subjectinverse spectral theoryen_US
dc.titleIsospectral dynamics of reflectionless Jacobi operatorsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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