We extend the proof of the local semicircle law for generalized Wigner matrices given in MR3068390 to the case when the matrix of variances has an eigenvalue -1. In particular, this result provides a short proof of the optimal local Marchenko-Pastur law at the hard edge (i.e. around zero) for sample covariance matrices X*X, where the variances of the entries of X may vary
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
We consider general self-adjoint polynomials in several independent random matrices whose entries ar...
We extend the proof of the local semicircle law for generalized Wigner matrices given in MR3068390 t...
These notes provide an introduction to the local semicircle law from random matrix theory, as well a...
We consider sample covariance matrices of the form X∗X, where X is an M×N matrix with independent ra...
We consider sample covariance matrices of the form X∗X, where X is an M×N matrix with independent ra...
Götze F, Naumov A, Tikhomirov A, Timushev D. On the local semicircular law for Wigner ensembles. BER...
Abstract. Our main result is a local limit law for the empirical spectral distribution of the antico...
Abstract. Our main result is a local limit law for the empirical spectral distribution of the antico...
Let XN be a N 7 N matrix whose entries are independent identically distributed complex random varia...
We consider sample covariance matrices of the form X ∗X, where X is an M × N matrix with independent...
Let XN be a N × N matrix whose entries are independent identically distributed complex random variab...
Let XN be a N × N matrix whose entries are independent identically distributed complex random variab...
Let XN be a N × N matrix whose entries are independent identically distributed complex random variab...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
We consider general self-adjoint polynomials in several independent random matrices whose entries ar...
We extend the proof of the local semicircle law for generalized Wigner matrices given in MR3068390 t...
These notes provide an introduction to the local semicircle law from random matrix theory, as well a...
We consider sample covariance matrices of the form X∗X, where X is an M×N matrix with independent ra...
We consider sample covariance matrices of the form X∗X, where X is an M×N matrix with independent ra...
Götze F, Naumov A, Tikhomirov A, Timushev D. On the local semicircular law for Wigner ensembles. BER...
Abstract. Our main result is a local limit law for the empirical spectral distribution of the antico...
Abstract. Our main result is a local limit law for the empirical spectral distribution of the antico...
Let XN be a N 7 N matrix whose entries are independent identically distributed complex random varia...
We consider sample covariance matrices of the form X ∗X, where X is an M × N matrix with independent...
Let XN be a N × N matrix whose entries are independent identically distributed complex random variab...
Let XN be a N × N matrix whose entries are independent identically distributed complex random variab...
Let XN be a N × N matrix whose entries are independent identically distributed complex random variab...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
We prove a local law in the bulk of the spectrum for random Gram matrices XX∗, a generalization of s...
We consider general self-adjoint polynomials in several independent random matrices whose entries ar...
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