Eigenvector statistics of Lévy matrices
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Publication:2039453
DOI10.1214/20-AOP1493zbMath1467.60003arXiv2002.09355OpenAlexW3160537447MaRDI QIDQ2039453
Jake Marcinek, Amol Aggarwal, Patrick Lopatto
Publication date: 2 July 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09355
Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)
Related Items (9)
Rank-uniform local law for Wigner matrices ⋮ Normal fluctuation in quantum ergodicity for Wigner matrices ⋮ Bernoulli random matrices ⋮ Localized phase for the Erdős-Rényi graph ⋮ Delocalization transition for critical Erdős-Rényi graphs ⋮ Optimal delocalization for generalized Wigner matrices ⋮ Spectrum of heavy-tailed elliptic random matrices ⋮ Poisson statistics and localization at the spectral edge of sparse Erdős-Rényi graphs ⋮ Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
Cites Work
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- Local spectral statistics of Gaussian matrices with correlated entries
- Extreme eigenvalues of sparse, heavy tailed random matrices
- Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law
- Localization and delocalization of eigenvectors for heavy-tailed random matrices
- The eigenvector moment flow and local quantum unique ergodicity
- Universality of random matrices with correlated entries
- Cleaning large correlation matrices: tools from random matrix theory
- Random matrices: universality of local eigenvalue statistics
- Universality of random matrices and local relaxation flow
- Bulk eigenvalue statistics for random regular graphs
- Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues
- Spectrum of large random reversible Markov chains: heavy-tailed weights on the complete graph
- Poisson convergence for the largest eigenvalues of heavy tailed random matrices
- Characteristic vectors of bordered matrices with infinite dimensions
- The spectrum of heavy tailed random matrices
- Asymptotics in the random assignment problem
- Universality for general Wigner-type matrices
- Universality for a class of random band matrices
- Bulk universality for generalized Wigner matrices with few moments
- Poisson statistics for the largest eigenvalues of Wigner random matrices with heavy tails
- Bulk universality for generalized Wigner matrices
- Eigenvector distribution of Wigner matrices
- Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices
- Spectral statistics of sparse Erdős-Rényi graph Laplacians
- Central limit theorem for eigenvectors of heavy tailed matrices
- Random band matrices in the delocalized phase. II: Generalized resolvent estimates
- The eigenstructure of the sample covariance matrices of high-dimensional stochastic volatility models with heavy tails
- Delocalization at small energy for heavy-tailed random matrices
- Resonant delocalization for random Schrödinger operators on tree graphs
- Spectral measure of heavy tailed band and covariance random matrices
- Convergence of local statistics of Dyson Brownian motion
- Eigenvector statistics of sparse random matrices
- The local relaxation flow approach to universality of the local statistics for random matrices
- Universality for certain Hermitian Wigner matrices under weak moment conditions
- A necessary and sufficient condition for edge universality of Wigner matrices
- Critical phenomena in natural sciences. Chaos, fractals, selforganization and disorder: Concepts and tools.
- Random band matrices in the delocalized phase. III: Averaging fluctuations
- Fermionic eigenvector moment flow
- Fixed Energy Universality for Generalized Wigner Matrices
- RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
- On the top eigenvalue of heavy-tailed random matrices
- The large connectivity limit of the Anderson model on tree graphs
- Level Statistics and Localization Transitions of Lévy Matrices
- Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
- Localization transition in random Lévy matrices: multifractality of eigenvectors in the localized phase and at criticality
- Bulk universality of sparse random matrices
- Bulk universality for Wigner matrices
- Taming Large Events: Optimal Portfolio Theory for Strongly Fluctuating Assets
- On the free convolution with a semi-circular distribution
- RANDOM MATRIX THEORY AND FINANCIAL CORRELATIONS
- RANDOM BAND MATRICES
- Extreme value problems in random matrix theory and other disordered systems
- Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half‐Plane
- A Dynamical Approach to Random Matrix Theory
- Mean Field Models for Spin Glasses
- Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
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