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On the Dynamical Localization of Random Band Matrices

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dc.contributor.advisorShapiro, Jacob
dc.contributor.advisorvan Handel, Ramon
dc.contributor.authorSon, Seungwan
dc.date.accessioned2025-08-07T16:53:31Z
dc.date.available2025-08-07T16:53:31Z
dc.date.issued2025-04-28
dc.description.abstractThis paper will provide an overview on the Mermin-Wagner Style shift methodology used by Cipolloni, Peled, Schenker, and Shapiro in their proof of Anderson Localization for the Wegner W-orbital model at localization length << W^4. It provides insights into how this technique can be adapted towards other RBM systems including two alternative models. In doing so, the paper suggests a new shift methodology that can potentially show localization at stricter lengths for some generalized systems.
dc.identifier.urihttps://theses-dissertations.princeton.edu/handle/88435/dsp01xs55mg531
dc.language.isoen_US
dc.titleOn the Dynamical Localization of Random Band Matrices
dc.typePrinceton University Senior Theses
dspace.entity.typePublication
dspace.workflow.startDateTime2025-04-28T06:21:59.929Z
pu.contributor.authorid920271183
pu.date.classyear2025
pu.departmentMathematics

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