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Wegner estimates for deformed Gaussian ensembles

Presented by: 
M Shamis Weizmann Institute of Science
Thursday 9th April 2015 - 11:30 to 12:30
INI Seminar Room 1
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.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons