Proof methods in random matrix theory
From MaRDI portal
Publication:6158178
DOI10.1214/23-ps16zbMath1522.60017arXiv2203.02551OpenAlexW4328023508MaRDI QIDQ6158178
Werner Kirsch, Michael Fleermann
Publication date: 31 May 2023
Published in: Probability Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.02551
random matrix theorymethod of momentssemicircle lawMarchenko-Pastur lawempirical spectral distributionsStieltjes transform method
Random matrices (probabilistic aspects) (60B20) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Related Items (2)
Large sample covariance matrices of Gaussian observations with uniform correlation decay ⋮ Random band and block matrices with correlated entries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Around the circular law
- Free probability and random matrices
- Random matrices: universality of local eigenvalue statistics
- Asymptotic distribution of singular values of powers of random matrices
- Local semicircle law and complete delocalization for Wigner random matrices
- Characteristic vectors of bordered matrices with infinite dimensions
- On the distribution of the roots of certain symmetric matrices
- Spectral analysis of large dimensional random matrices
- Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix
- A limit theorem for the norm of random matrices
- Level-spacing distributions and the Airy kernel
- Universality at the edge of the spectrum in Wigner random matrices.
- On the local semicircular law for Wigner ensembles
- Random matrices: universality of ESDs and the circular law
- Singularity of random Bernoulli matrices
- Mathematical statistics
- Spectral measure of large random Hankel, Markov and Toeplitz matrices
- An Introduction to Random Matrices
- Mathematical Statistics
- Probability
- A First Course in Random Matrix Theory
- High-dimensional sample covariance matrices with Curie-Weiss entries
- The matrix Dyson equation and its applications for random matrices
- A Dynamical Approach to Random Matrix Theory
- Measure and integration theory
- Probability theory
- Matrix theory. Basic results and techniques
This page was built for publication: Proof methods in random matrix theory