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math-ph2021
Single eigenvalue fluctuations of general Wigner-type matrices
Benjamin Landon, Patrick Lopatto, Philippe Sosoe
We consider the single eigenvalue fluctuations of random matrices of general Wigner-type, under a one-cut assumption on the density of states. For eigenvalues in the bulk, we prove…
math.PR2021★ 22 cited
Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
Lucas Benigni, Patrick Lopatto
We study the eigenvector mass distribution for generalized Wigner matrices on a set of coordinates , where , and prove it converg…