Edge universality for deformed Wigner matrices Lee, Jioon Schnelli, Kevin 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. World Scientific Publishing 2015 info:eu-repo/semantics/article doc-type:article text https://research-explorer.app.ist.ac.at/record/1674 Lee J, Schnelli K. Edge universality for deformed Wigner matrices. <i>Reviews in Mathematical Physics</i>. 2015;27(8). doi:<a href="https://doi.org/10.1142/S0129055X1550018X">10.1142/S0129055X1550018X</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1142/S0129055X1550018X info:eu-repo/semantics/openAccess
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