The least singular value of a random symmetric matrix
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Publication:6148430
DOI10.1017/fmp.2023.29arXiv2203.06141MaRDI QIDQ6148430
Marcelo Campos, Matthew Jenssen, Marcus Michelen, Julian Sahasrabudhe
Publication date: 7 February 2024
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06141
Cites Work
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- Inverse Littlewood-Offord problems and the singularity of random symmetric matrices
- On the least singular value of random symmetric matrices
- Random matrices: tail bounds for gaps between eigenvalues
- Random matrices: universality of local eigenvalue statistics
- No-gaps delocalization for general random matrices
- Local semicircle law and complete delocalization for Wigner random matrices
- On the distribution of the roots of certain symmetric matrices
- Random symmetric matrices are almost surely nonsingular.
- A universality result for the smallest eigenvalues of certain sample covariance matrices
- Random matrices: The distribution of the smallest singular values
- Coverings of random ellipsoids, and invertibility of matrices with i.i.d. heavy-tailed entries
- Random matrices: overcrowding estimates for the spectrum
- Random matrices have simple spectrum
- Bilinear and quadratic variants on the Littlewood-Offord problem
- On the singularity of random symmetric matrices
- The smallest singular value of inhomogeneous square random matrices
- The smallest singular value of heavy-tailed not necessarily i.i.d. random matrices via random rounding
- A bound on tail probabilities for quadratic forms in independent random variables whose distributions are not necessarily symmetric
- Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
- Bulk universality for Wigner Hermite matrices with subexponential decay
- Singularity of random Bernoulli matrices
- Invertibility of random matrices: norm of the inverse
- Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
- The Littlewood-Offord problem and invertibility of random matrices
- Anti-concentration for polynomials of independent random variables
- Fixed Energy Universality for Generalized Wigner Matrices
- Universality of Wigner random matrices: a survey of recent results
- Small Ball Probabilities for Linear Images of High-Dimensional Distributions
- Smallest singular value of a random rectangular matrix
- On the efficiency of algorithms of analysis
- Eigenvalues and Condition Numbers of Random Matrices
- Spaces with Large Distance to ℓ n ∞ and Random Matrices
- High-Dimensional Probability
- On the counting problem in inverse Littlewood–Offord theory
- Singularity of random symmetric matrices revisited
- An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs
- Smoothed analysis of algorithms
- Wegner Estimate and Level Repulsion for Wigner Random Matrices
- SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS
- Invertibility of symmetric random matrices
- Small Ball Probability, Inverse Theorems, and Applications
- On the Kolmogorov-Rogozin inequality for the concentration function
- A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables
- On the smallest singular value of symmetric random matrices