Local laws for non-Hermitian random matrices

DOI10.1134/S1064562417060072zbMath1392.60012OpenAlexW2781574811MaRDI QIDQ1707142

Friedrich Götze, Alexander Tikhomirov, Alexey Naumov

Publication date: 28 March 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417060072

zbMATH Keywords

empirical spectral measurecircular lawnon-Hermitian random matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items

Inhomogeneous circular law for correlated matrices, Local laws for polynomials of Wigner matrices, Random matrix products: universality and least singular values, Local semicircle law under fourth moment condition, Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices, Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations

Cites Work

• Local circular law for random matrices
• The local circular law. II: The edge case
• Products of independent non-Hermitian random matrices
• The local circular law. III: General case
• Local law for the product of independent non-Hermitian random matrices with independent entries
• Bounds for the Stieltjes transform and the density of states of Wigner matrices
• The circular law for random matrices
• Circular law
• Random matrices: universality of ESDs and the circular law
• Random matrices: universality of local spectral statistics of non-Hermitian matrices
• Statistical Ensembles of Complex, Quaternion, and Real Matrices