Persistent Link:
http://hdl.handle.net/10150/294026
Title:
Lieb-Robinson Bounds for the Toda Lattice
Author:
Islambekov, Umar
Issue Date:
2013
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
We study locality properties of the Toda lattice in terms of Lieb-Robinson bounds. The estimates we prove produce a finite Lieb-Robinson velocity depending on the initial condition. Then we establish analogous results for certain perturbations of the Toda system. Finally, we obtain generalizations of our main results in the setting of the Toda hierarchy.
Type:
text; Electronic Dissertation
Keywords:
Mathematics
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Mathematics
Degree Grantor:
University of Arizona
Advisor:
Sims, Robert

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleLieb-Robinson Bounds for the Toda Latticeen_US
dc.creatorIslambekov, Umaren_US
dc.contributor.authorIslambekov, Umaren_US
dc.date.issued2013-
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractWe study locality properties of the Toda lattice in terms of Lieb-Robinson bounds. The estimates we prove produce a finite Lieb-Robinson velocity depending on the initial condition. Then we establish analogous results for certain perturbations of the Toda system. Finally, we obtain generalizations of our main results in the setting of the Toda hierarchy.en_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectMathematicsen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorSims, Roberten_US
dc.contributor.committeememberKennedy, Thomasen_US
dc.contributor.committeememberMcLaughlin, Kennethen_US
dc.contributor.committeememberWehr, Janen_US
dc.contributor.committeememberSims, Roberten_US
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