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Wegner estimates for deformed Gaussian ensembles

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Periodic and Ergodic Spectral Problems

Co-authors: Michael Aizenman (Princeton University), Ron Peled (Tel Aviv University), Jeff Schenker (Michigan State University ), Sasha Sodin (Tel Aviv University)

The deformed Gaussian ensembles are obtained by adding a deterministic Hermitian matrix to a random matrix drawn from the Gaussian Orthogonal, Unitary (or Symplectic) ensembles. We shall discuss several Wegner-type estimates for these models. As an application, we establish localization at strong disorder for the Wegner orbital model, with sharp dependence of the localization threshold on the number of orbitals.

This talk is part of the Isaac Newton Institute Seminar Series series.

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