Bulk universality for deformed Wigner matrices
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CitationLee, Ji Oon, Kevin Schnelli, Ben Stetler, and Horng-Tzer Yau. 2016. “Bulk Universality for Deformed Wigner Matrices.” The Annals of Probability 44 (3) (May): 2349–2425. doi:10.1214/15-aop1023.
AbstractWe consider N×N random matrices of the form H=W+V where W is a real symmetric or complex Hermitian Wigner matrix and V is a random or deterministic, real, diagonal matrix whose entries are independent of W. We assume subexponential decay for the matrix entries of W, and we choose V so that the eigenvalues of W and V are typically of the same order. For a large class of diagonal matrices V, we show that the local statistics in the bulk of the spectrum are universal in the limit of large N.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:32706797
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