Optimal delocalization for generalized Wigner matrices
From MaRDI portal
Publication:2071630
DOI10.1016/j.aim.2021.108109zbMath1485.15040arXiv2007.09585OpenAlexW3213476957MaRDI QIDQ2071630
Patrick Lopatto, Lucas Benigni
Publication date: 28 January 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.09585
Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)
Related Items (8)
Rank-uniform local law for Wigner matrices ⋮ Normal fluctuation in quantum ergodicity for Wigner matrices ⋮ Gaussian fluctuations in the equipartition principle for Wigner matrices ⋮ Extremal statistics of quadratic forms of GOE/GUE eigenvectors ⋮ Eigenvectors of the square grid plus GUE ⋮ Thermalisation for Wigner matrices ⋮ Universal characteristics of deep neural network loss surfaces from random matrix theory ⋮ Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
Cites Work
- Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law
- Edge universality of beta ensembles
- Gap universality of generalized Wigner and \(\beta\)-ensembles
- The eigenvector moment flow and local quantum unique ergodicity
- Random matrices: universality of local eigenvalue statistics
- Universality of random matrices and local relaxation flow
- Rigidity of eigenvalues of generalized Wigner matrices
- No-gaps delocalization for general random matrices
- Local semicircle law and complete delocalization for Wigner random matrices
- Eigenvectors of random matrices: A survey
- Hanson-Wright inequality and sub-Gaussian concentration
- Characteristic vectors of bordered matrices with infinite dimensions
- On the distribution of the roots of certain symmetric matrices
- GOE statistics for Lévy matrices
- Delocalization of eigenvectors of random matrices with independent entries
- Gaussian fluctuations of eigenvalues in Wigner random matrices
- Determinantal processes and independence
- A dozen de Finetti-style results in search of a theory
- Random matrices: overcrowding estimates for the spectrum
- Universality for general Wigner-type matrices
- On the local semicircular law for Wigner ensembles
- Bulk universality for generalized Wigner matrices with few moments
- Maxima of entries of Haar distributed matrices
- Gaussian fluctuations of eigenvalues in the GUE
- Bulk universality for generalized Wigner matrices
- Eigenvector distribution of Wigner matrices
- Random matrices: Universality of local eigenvalue statistics up to the edge
- Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices
- Eigenvector statistics of Lévy matrices
- Inhomogeneous circular law for correlated matrices
- Comparison theorem for some extremal eigenvalue statistics
- Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
- Convergence of local statistics of Dyson Brownian motion
- Eigenvector statistics of sparse random matrices
- On optimal bounds in the local semicircle law under four moment condition
- Isotropic local laws for sample covariance and generalized Wigner matrices
- Correlations between eigenvalues of a random matrix
- Universality of the least singular value for sparse random matrices
- Fermionic eigenvector moment flow
- Fixed Energy Universality for Generalized Wigner Matrices
- The Isotropic Semicircle Law and Deformation of Wigner Matrices
- RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
- Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
- Random weighted projections, random quadratic forms and random eigenvectors
- Bulk universality of sparse random matrices
- Bulk universality for Wigner matrices
- An Introduction to Random Matrices
- Uncertainty principles and ideal atomic decomposition
- Sparse general Wigner-type matrices: Local law and eigenvector delocalization
- RANDOM BAND MATRICES
- Wegner Estimate and Level Repulsion for Wigner Random Matrices
- A Dynamical Approach to Random Matrix Theory
- Random Matrices in Physics
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Optimal delocalization for generalized Wigner matrices
