Moderate deviations for the eigenvalue counting function of Wigner matrices
نویسندگان
چکیده
We establish a moderate deviation principle (MDP) for the number of eigenvalues of a Wigner matrix in an interval. The proof relies on fine asymptotics of the variance of the eigenvalue counting function of GUEmatrices due to Gustavsson. The extension to certain families of Wigner matrices is based on the Tao and Vu Four Moment Theorem and applies localization results by Erdös, Yau and Yin. Moreover we investigate families of covariance matrices as well.
منابع مشابه
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