Central limit theorem for linear spectral statistics of block-Wigner-type matrices
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Publication:6152151
DOI10.1142/s2010326323500065arXiv2110.12171OpenAlexW4286895995WikidataQ123133851 ScholiaQ123133851MaRDI QIDQ6152151
Publication date: 12 February 2024
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.12171
Gaussian processlarge deviationscumulant expansionstochastic block modellinear spectral statisticsWigner-type matrices
Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)
Cites Work
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- A CLT for a band matrix model
- On the convergence of the spectral empirical process of Wigner matrices
- A new method of normal approximation
- Fluctuations of eigenvalues and second order Poincaré inequalities
- Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
- Spectral analysis of large dimensional random matrices
- Asymptotic expansions based on smooth functions in the central limit theorem
- Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices
- Local law and Tracy-Widom limit for sparse random matrices
- Universality for general Wigner-type matrices
- CLT for linear spectral statistics of large-dimensional sample covariance matrices.
- Local law and Tracy-Widom limit for sparse stochastic block models
- Applications of mesoscopic CLTs in random matrix theory
- Central limit theorems for linear statistics of heavy tailed random matrices
- Mesoscopic eigenvalue statistics of Wigner matrices
- Second order freeness and fluctuations of random matrices. I: Gaussian and Wishart matrices and cyclic Fock spaces
- Universality of Wigner random matrices: a survey of recent results
- On the Convergence Rate in the Central Limit Theorem for Weakly Dependent Random Variables
- Central limit theorem for traces of large random symmetric matrices with independent matrix elements
- Linear eigenvalue statistics of random matrices with a variance profile
- A graphon approach to limiting spectral distributions of Wigner‐type matrices
- Quadratic Vector Equations On Complex Upper Half-Plane
- The matrix Dyson equation and its applications for random matrices
- Asymptotic properties of large random matrices with independent entries
- A goodness-of-fit test for stochastic block models
- Functional central limit theorems for Wigner matrices
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