Precise asymptotics for the spectral radius of a large random matrix

DOI10.1063/5.0209705zbMath1543.15029MaRDI QIDQ6564419

Giorgio Cipolloni, László Erdős, Yuanyuan Xu

Publication date: 1 July 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Strong limit theorems (60F15) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Cites Work

Unnamed Item
Unnamed Item
Averaging fluctuations in resolvents of random band matrices
The local semicircle law for a general class of random matrices
The local circular law. II: The edge case
Around the circular law
Maximum of the characteristic polynomial of random unitary matrices
Rigidity of eigenvalues of generalized Wigner matrices
The stability of large random matrices and their products
Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang
The spectral radius of large random matrices
On the spectra of Gaussian matrices
Circular law
Local law and Tracy-Widom limit for sparse random matrices
On the spectral radius of a random matrix: an upper bound without fourth moment
Stability of the matrix Dyson equation and random matrices with correlations
Fixed energy universality of Dyson Brownian motion
Local inhomogeneous circular law
Random matrices: universality of ESDs and the circular law
On the maximum of the C\(\beta\)E field
Inhomogeneous circular law for correlated matrices
Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs
Fluctuation around the circular law for random matrices with real entries
Density of small singular values of the shifted real Ginibre ensemble
Convergence of the spectral radius of a random matrix through its characteristic polynomial
Extreme gaps between eigenvalues of Wigner matrices
Convergence rate to the Tracy-Widom laws for the largest eigenvalue of Wigner matrices
Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs
Correlated random matrices: band rigidity and edge universality
Maximum of the characteristic polynomial of the Ginibre ensemble
Cusp universality for random matrices. I: Local law and the complex Hermitian case
The Dyson equation with linear self-energy: spectral bands, edges and cusps
Cusp universality for random matrices. II: The real symmetric case
Random matrices: universality of local spectral statistics of non-Hermitian matrices
Edge scaling limits for a family of non-Hermitian random matrix ensembles
The interpolating Airy kernels for the \(\beta=1\) and \(\beta=4\) elliptic Ginibre ensembles
Extremal laws for the real Ginibre ensemble
Universality of the least singular value for sparse random matrices
Edge universality for non-Hermitian random matrices
Optimal lower bound on the least singular value of the shifted Ginibre ensemble
Small deviation estimates for the largest eigenvalue of Wigner matrices
On the distribution of the maximum value of the characteristic polynomial of GUE random matrices
Fixed Energy Universality for Generalized Wigner Matrices
A limit theorem at the edge of a non-Hermitian random matrix ensemble
The Maximum of the CUE Field
RANDOM MATRICES WITH SLOW CORRELATION DECAY
On the Condition Number of the Shifted Real Ginibre Ensemble
Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints
Directional extremal statistics for Ginibre eigenvalues
Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices
Convergence rate to the Tracy-Widom laws for the largest eigenvalue of sample covariance matrices
On the rightmost eigenvalue of non-Hermitian random matrices
Mesoscopic central limit theorem for non-Hermitian random matrices

This page was built for publication: Precise asymptotics for the spectral radius of a large random matrix