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Browsing by Author "Son, Seungwan"

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    On the Dynamical Localization of Random Band Matrices

    (2025-04-28) Son, Seungwan; Shapiro, Jacob; van Handel, Ramon

    This 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.

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