Isospectral dynamics of reflectionless Jacobi operators

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dc.contributor.advisorDamanik, David
dc.creatorVandenBoom, Tom
dc.date.accessioned2019-05-17T14:36:54Z
dc.date.available2019-05-17T14:36:54Z
dc.date.created2018-05
dc.date.issued2018-04-02
dc.date.submittedMay 2018
dc.date.updated2019-05-17T14:36:54Z
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.
dc.format.mimetypeapplication/pdf
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>.
dc.identifier.urihttps://hdl.handle.net/1911/105699
dc.language.isoeng
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.
dc.subjectMathematical physics
dc.subjectJacobi operators
dc.subjectdynamical systems
dc.subjectinverse spectral theory
dc.titleIsospectral dynamics of reflectionless Jacobi operators
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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