Local Marchenko-Pastur law at the hard edge of sample covariance matrices
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Publication:5397828
DOI10.1063/1.4801856zbMath1282.15031arXiv1206.1730OpenAlexW3103665959MaRDI QIDQ5397828
Claudio Cacciapuoti, Benjamin Schlein, Anna V. Maltsev
Publication date: 24 February 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.1730
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Cites Work
- Random covariance matrices: universality of local statistics of eigenvalues
- Random matrices: universality of local eigenvalue statistics
- Universality of random matrices and local relaxation flow
- Average density of states for Hermitian Wigner matrices
- Rigidity of eigenvalues of generalized Wigner matrices
- Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues
- Local semicircle law and complete delocalization for Wigner random matrices
- Poisson convergence for the largest eigenvalues of heavy tailed random matrices
- Random matrices: The distribution of the smallest singular values
- Universality at the edge of the spectrum in Wigner random matrices.
- Bulk universality for generalized Wigner matrices
- Random matrices: Universality of local eigenvalue statistics up to the edge
- Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
- The local relaxation flow approach to universality of the local statistics for random matrices
- RANDOM COVARIANCE MATRICES: UNIVERSALITY OF LOCAL STATISTICS OF EIGENVALUES UP TO THE EDGE
- Bulk universality for Wigner matrices
- Wegner Estimate and Level Repulsion for Wigner Random Matrices
- A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables
- Universality of local eigenvalue statistics for some sample covariance matrices
