Asymptotic freeness through unitaries generated by polynomials of Wigner matrices

Cites Work

Convergence of the largest singular value of a polynomial in independent Wigner matrices
The local semicircle law for a general class of random matrices
A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices
Local law for the product of independent non-Hermitian random matrices with independent entries
Rigidity of eigenvalues of generalized Wigner matrices
Anisotropic local laws for random matrices
Local semicircle law and complete delocalization for Wigner random matrices
Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
Limit laws for random matrices and free products
On certain free product factors via an extended matrix model
Local law and Tracy-Widom limit for sparse random matrices
Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
Non-commutative rational functions in strong convergent random variables
The norm of polynomials in large random and deterministic matrices
Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs
Thermalisation for Wigner matrices
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices
On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices
Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs
Local laws for polynomials of Wigner matrices
Mesoscopic eigenvalue statistics of Wigner matrices
Spectral properties of polynomials in independent Wigner and deterministic matrices
Isotropic local laws for sample covariance and generalized Wigner matrices
A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
Random matrices with log-range correlations, and log-Sobolev inequalities
Asymptotic expansion of smooth functions in polynomials in deterministic matrices and iid GUE matrices
The isotropic semicircle law and deformation of Wigner matrices
Lectures on the Combinatorics of Free Probability
Edge universality for deformed Wigner matrices
An Introduction to Random Matrices
Asymptotic distribution of smoothed eigenvalue density. II. Wigner random matrices
RANDOM MATRICES WITH SLOW CORRELATION DECAY
Freely independent random variables with non-atomic distributions
Asymptotic properties of large random matrices with independent entries
Asymptotics of Random Matrices and Related Models

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