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Probability and Combinatorics

Tuesday, October 5, 2021 - 3:30pm

David Renfrew

SUNY Binghamton


Temple University

Wachman Hall 617

We consider the density of states of structured Hermitian random matrices with a variance profile. As the dimension tends to infinity the associated eigenvalue density can develop a singularity at the origin. The severity of this singularity depends on the relative positions of the zero submatrices. We provide a classification of all possible singularities and determine the exponent in the density blow-up.