---
res:
bibo_abstract:
- We consider N × N random matrices of the form H = W + V where W is a real symmetric
Wigner matrix and V 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 rescaled distribution
of the extremal eigenvalues is given by the Tracy-Widom distribution F1 in the
limit of large N. Our proofs also apply to the complex Hermitian setting, i.e.
when W is a complex Hermitian Wigner matrix.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Jioon
foaf_name: Lee, Jioon
foaf_surname: Lee
- foaf_Person:
foaf_givenName: Kevin
foaf_name: Schnelli, Kevin
foaf_surname: Schnelli
foaf_workInfoHomepage: http://www.librecat.org/personId=434AD0AE-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0003-0954-3231
bibo_doi: 10.1142/S0129055X1550018X
bibo_issue: '8'
bibo_volume: 27
dct_date: 2015^xs_gYear
dct_language: eng
dct_publisher: World Scientific Publishing@
dct_title: Edge universality for deformed Wigner matrices@
...