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Mobility edge for Levy matrices

Date
Mon January 27th 2025, 4:00pm
Location
Sequoia 200
Speaker
Amol Aggarwal, Columbia University

Lévy matrices are symmetric random matrices whose entries are in the domain of attraction of an \alpha stable law. For \alpha < 1, it had been predicted that these matrices exhibit an Anderson transition, also called a mobility edge, a point in the spectrum where eigenvector behavior sharply transitions from delocalized to localized. In this talk, we describe results that establish the existence and also explicitly compute the location of this mobility edge for Lévy matrices.