Convergence and asymptotic approximations to universal distributions in probability

Cites Work

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Optimal bounds for convergence of expected spectral distributions to the semi-circular law
Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem
Asymptotic expansions in the CLT in free probability
The local semicircle law for a general class of random matrices
Fisher information and convergence to stable laws
Berry-Esseen bounds in the entropic central limit theorem
Products of independent non-Hermitian random matrices
A note on rate of convergence in probability to semicircular law
Around the circular law
Local universality of repulsive particle systems and random matrices
Random matrices: universality of local eigenvalue statistics
Asymptotic distribution of singular values of powers of random matrices
Optimal inverse Littlewood-Offord theorems
On the correlation function of the characteristic polynomials of the Hermitian Wigner ensemble
Freeness of linear and quadratic forms in von Neumann algebras
The arithmetic of distributions in free probability theory
Rigidity of eigenvalues of generalized Wigner matrices
Convergence rate of expected spectral distributions of large random matrices. I: Wigner matrices
Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues
New applications of Arak's inequalities to the Littlewood-Offord problem
On the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix
Local semicircle law and complete delocalization for Wigner random matrices
Particle systems with repulsion exponent \(\beta\) and random matrices
Bounds for the Stieltjes transform and the density of states of Wigner matrices
Rational points near manifolds and metric Diophantine approximation
Empirical spacings of unfolded eigenvalues
The entropic Erdős-Kac limit theorem
Estimates for the concentration functions in the Littlewood-Offord problem
The circular law for random matrices
Limit correlation functions for fixed trace random matrix ensembles
Entropy and the central limit theorem
Lattice point problems and the central limit theorem in Euclidean spaces
Flows on homogeneous spaces and Diophantine approximation on manifolds
Circular law
A note on the convergence rate of the spectral distributions of large random matrices
Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach
Rate of convergence to the semi-circular law
Autocorrelation of random matrix polynomials
Biorthogonal ensembles
On the local semicircular law for Wigner ensembles
Products of random matrices from polynomial ensembles
Correlation functions of real zeros of random polynomials
Gaussian fluctuations of eigenvalues in the GUE
On the rate of convergence in the entropic central limit theorem
Lattice point problems and values of quadratic forms
Random matrices: universality of ESDs and the circular law
On concentration of empirical measures and convergence to the semi-circle law
Joint distribution of conjugate algebraic numbers: a random polynomial approach
Fisher information and the central limit theorem
Invertibility of random matrices: norm of the inverse
Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
On points with algebraically conjugate coordinates close to smooth curves
Distribution of linear statistics of singular values of the product of random matrices
Asymptotic analysis of symmetric functions
Edge statistics for a class of repulsive particle systems
Limit theorems in free probability theory II
Explicit rates of approximation in the CLT for quadratic forms
A necessary and sufficient condition for edge universality of Wigner matrices
Limit theorems in free probability theory. I
The Littlewood-Offord problem and invertibility of random matrices
The rate of convergence for spectra of GUE and LUE matrix ensembles
Products of independent elliptic random matrices
Global Asymptotics for the Christoffel-Darboux Kernel of Random Matrix Theory
Distribution of complex algebraic numbers
Distribution of Algebraic Numbers and Metric Theory of Diophantine Approximation
The Elliptic Law
Exact relation between singular value and eigenvalue statistics
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability
On minimal singular values of random matrices with correlated entries
Rate of Convergence to the Semicircle Law for the Gaussian Orthogonal Ensemble
Lower bounds for the number of integral polynomials with given order of discriminants
Bulk universality for Wigner matrices
An Introduction to Random Matrices
Limiting Spectral Distributions of Sums of Products of Non-Hermitian Random Matrices
Local Semicircle Law under Moment Conditions: The Stieltjes Transform, Rigidity, and Delocalization
On the Distribution of Spacings Between Zeros of the Zeta Function
Solution of Shannon’s problem on the monotonicity of entropy
Universality of local spectral statistics of random matrices
The distribution of close conjugate algebraic numbers
On algebraic integers in short intervals and near smooth curves
On one generalization of the elliptic law for random matrices
Recent Exact and Asymptotic Results for Products of Independent Random Matrices
Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
Characteristic polynomials of random matrices.
Random matrix theory and \(\zeta(1/2+it)\).

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