Spectrum and pseudospectrum for quadratic polynomials in Ginibre matrices
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Publication:2080811
DOI10.1214/21-AIHP1225MaRDI QIDQ2080811
Jonathan Husson, Nicholas A. Cook, Alice Guionnet
Publication date: 11 October 2022
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.08833
Uses Software
Cites Work
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- Inverse Littlewood-Offord problems and the singularity of random symmetric matrices
- Products of independent non-Hermitian random matrices
- Around the circular law
- A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices
- Universality of the ESD for a fixed matrix plus small random noise: a stability approach
- Free probability and random matrices
- The single ring theorem
- On asymptotics for the spectrum of the product of two random rectangular matrices
- Limiting spectral distribution of sum of unitary and orthogonal matrices
- On the distribution of the roots of certain symmetric matrices
- Random symmetric matrices are almost surely nonsingular.
- The circular law for random matrices
- Limit laws for random matrices and free products
- Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism
- Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
- Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method
- Circular law for the sum of random permutation matrices
- Local inhomogeneous circular law
- Random regularization of Brown spectral measure
- Random matrices: universality of ESDs and the circular law
- Non-Hermitian random matrices with a variance profile. I: Deterministic equivalents and limiting esds
- On the singularity of random symmetric matrices
- Inhomogeneous circular law for correlated matrices
- Hölder continuity of cumulative distribution functions for noncommutative polynomials under finite free Fisher information
- Local laws for polynomials of Wigner matrices
- On the concentration of random multilinear forms and the universality of random block matrices
- Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
- Bounds on the concentration function in terms of the Diophantine approximation
- The Littlewood-Offord problem and invertibility of random matrices
- A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
- Products of independent elliptic random matrices
- Computation of some examples of Brown's spectral measure in free probability
- Anti-concentration for polynomials of independent random variables
- The Elliptic Law
- RANDOM MATRICES: THE CIRCULAR LAW
- Smallest singular value of a random rectangular matrix
- An Introduction to Random Matrices
- The Fourier Transforms of Smooth Measures on Hypersurfaces of Rn + 1
- Eigenvalues and Condition Numbers of Random Matrices
- Singular spaces of matrices and their application in combinatorics
- On the convex infimum convolution inequality with optimal cost function
- Combinatorial anti-concentration inequalities, with applications
- Deterministic equivalence for noisy perturbations
- Singularity of random symmetric matrices revisited
- Spectrum of random perturbations of Toeplitz matrices with finite symbols
- Gaussian Regularization of the Pseudospectrum and Davies’ Conjecture
- SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS
- Freely independent random variables with non-atomic distributions
- Convergence of the spectral measure of non-normal matrices
- Invertibility of symmetric random matrices
- Small Ball Probability, Inverse Theorems, and Applications
- Distributional and \(L^q\) norm inequalities for polynomials over convex bodies in \(\mathbb{R}^n\)