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Dynamical Localization for Random Band Matrices Up to $$W\ll N^{1/4}$$

https://doi.org/10.1007/s00220-024-04948-1

Cipolloni, Giorgio ; Peled, Ron ; Schenker, Jeffrey ; Shapiro, Jacob ( March 2024 , Communications in Mathematical Physics)

We prove that a large class of N × N Gaussian random band matrices with band width W exhibits dynamical Anderson localization at all energies when $$W < more » « less
Free, publicly-accessible full text available March 1, 2025
On the trace of random walks on random graphs: ON THE TRACE OF RANDOM WALKS ON RANDOM GRAPHS

https://doi.org/10.1112/plms.12083

Frieze, Alan ; Krivelevich, Michael ; Michaeli, Peleg ; Peled, Ron ( April 2018 , Proceedings of the London Mathematical Society)

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