A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices
نویسندگان
چکیده
منابع مشابه
A comment on the Wigner - Dyson - Mehta bulk universality conjecture for Wigner matrices ∗
Recently we proved [3, 4, 6, 7, 9, 10, 11] that the eigenvalue correlation functions of a general class of random matrices converge, weakly with respect to the energy, to the corresponding ones of Gaussian matrices. Tao and Vu [15] gave a proof that for the special case of Hermitian Wigner matrices the convergence can be strengthened to vague convergence at any fixed energy in the bulk. In this...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2012
ISSN: 1083-6489
DOI: 10.1214/ejp.v17-1779