Mesoscopic central limit theorem for general \(\beta\)-ensembles
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Publication:1633910
DOI10.1214/17-AIHP860zbMath1417.60006arXiv1605.05206OpenAlexW2963893326MaRDI QIDQ1633910
Publication date: 21 December 2018
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/1605.05206
Related Items (22)
Subcritical multiplicative chaos for regularized counting statistics from random matrix theory ⋮ Pair dependent linear statistics for CβE ⋮ Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices ⋮ Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature ⋮ Functional central limit theorems for Wigner matrices ⋮ The Berry-Esseen theorem for circular \(\beta\)-ensemble ⋮ Rigidity of eigenvalues for \(\beta\) ensemble in multi-cut regime ⋮ Local laws and a mesoscopic CLT for β‐ensembles ⋮ CLT for fluctuations of \(\beta \)-ensembles with general potential ⋮ Local laws and rigidity for Coulomb gases at any temperature ⋮ A note on pair-dependent linear statistics with a slowly increasing variance ⋮ Applications of mesoscopic CLTs in random matrix theory ⋮ Fluctuations of two dimensional Coulomb gases ⋮ Rigidity and a mesoscopic central limit theorem for Dyson Brownian motion for general \(\beta\) and potentials ⋮ On fluctuations of global and mesoscopic linear statistics of generalized Wigner matrices ⋮ Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices ⋮ Mesoscopic central limit theorem for the circular \(\beta\)-ensembles and applications ⋮ Mesoscopic linear statistics of Wigner matrices of mixed symmetry class ⋮ Incomplete determinantal processes: from random matrix to Poisson statistics ⋮ Rigidity of the three-dimensional hierarchical Coulomb gas ⋮ Moderate deviations for linear eigenvalue statistics of β-ensembles ⋮ Optimal local law and central limit theorem for \(\beta\)-ensembles
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