Shapiro, Jacobvan Handel, RamonSon, Seungwan2025-08-072025-08-072025-04-28https://theses-dissertations.princeton.edu/handle/88435/dsp01xs55mg531This 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.en-USPrinceton University Senior Theses