Local laws for non-Hermitian random matrices and their products
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Publication:3387072
DOI10.1142/S2010326321500040zbMath1472.60009arXiv1708.06950OpenAlexW2972939003MaRDI QIDQ3387072
Friedrich Götze, Alexey Naumov, Alexander Tikhomirov
Publication date: 12 January 2021
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.06950
Stieltjes transformrandom matricesStein's methodlogarithmic potentiallocal circle lawproduct of non-Hermitian random matrices
Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Convergence of probability measures (60B10)
Related Items
Local elliptic law ⋮ Rate of convergence for products of independent non-Hermitian random matrices ⋮ Rate of convergence to the Circular Law via smoothing inequalities for log-potentials
Cites Work
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- Local circular law for random matrices
- The local circular law. II: The edge case
- Products of independent non-Hermitian random matrices
- Around the circular law
- The local circular law. III: General case
- Local law for the product of independent non-Hermitian random matrices with independent entries
- On the Marchenko-Pastur and circular laws for some classes of random matrices with dependent entries
- Bounds for the Stieltjes transform and the density of states of Wigner matrices
- Characteristic vectors of bordered matrices with infinite dimensions
- Circular law, extreme singular values and potential theory
- The circular law for random matrices
- Spectral analysis of large dimensional random matrices
- Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
- Rate of convergence to the semi-circular law
- Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble
- On the local semicircular law for Wigner ensembles
- Local inhomogeneous circular law
- Random matrices: universality of ESDs and the circular law
- Almost-Hermitian random matrices: Eigenvalue density in the complex plane
- Non-Hermitian random matrices with a variance profile. I: Deterministic equivalents and limiting esds
- Random matrices: universality of local spectral statistics of non-Hermitian matrices
- Local circular law for the product of a deterministic matrix with a random matrix
- Circular law theorem for random Markov matrices
- A necessary and sufficient condition for edge universality of Wigner matrices
- The Littlewood-Offord problem and invertibility of random matrices
- Products of independent elliptic random matrices
- On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
- Circular law for random matrices with exchangeable entries
- The Elliptic Law
- Universal microscopic correlation functions for products of independent Ginibre matrices
- On minimal singular values of random matrices with correlated entries
- Random graph states, maximal flow and Fuss–Catalan distributions
- Elliptic Law
- Local Semicircle Law under Moment Conditions: The Stieltjes Transform, Rigidity, and Delocalization
- A random matrix model of communication via antenna arrays
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
- A Dynamical Approach to Random Matrix Theory
- On one generalization of the elliptic law for random matrices
- Products of Random Matrices
- Spectral norm of random matrices
