The Berry-Esseen theorem for circular \(\beta\)-ensemble
From MaRDI portal
Publication:6180363
DOI10.1214/23-aap1940zbMath1530.60005arXiv1905.09448MaRDI QIDQ6180363
Tian, Gang, Dongyi Wei, Renjie Feng
Publication date: 19 January 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.09448
normalitylinear statisticsBerry-Esseen theoremcircular \(\beta\)-ensemble (C\(\beta\)E)\(\operatorname{Sine}_{\beta}\) process
Cites Work
- Unnamed Item
- Linear statistics of the circular \(\beta\)-ensemble, Stein's method, and circular Dyson Brownian motion
- Fluctuations of linear eigenvalue statistics of \(\beta \) matrix models in the multi-cut regime
- The scaling limit of the critical one-dimensional random Schrödinger operator
- Eigenvalue statistics for CMV matrices: From Poisson to clock via random matrix ensembles
- On random matrices from the compact classical groups
- Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields
- Mesoscopic central limit theorem for general \(\beta\)-ensembles
- Gaussian and non-Gaussian fluctuations for mesoscopic linear statistics in determinantal processes
- CLT for fluctuations of \(\beta \)-ensembles with general potential
- Limit theorems for biorthogonal ensembles and related combinatorial identities
- The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities
- Gaussian limit for determinantal random point fields.
- On fluctuations of eigenvalues of random Hermitian matrices.
- Mesoscopic central limit theorem for the circular \(\beta\)-ensembles and applications
- Central limit theorems for linear statistics of heavy tailed random matrices
- Quantitative normal approximation of linear statistics of \(\beta \)-ensembles
- Linear functionals of eigenvalues of random matrices
- Gaussian Fluctuations for Ensembles
- On the Eigenvalues of Random Matrices
- The Accuracy of the Gaussian Approximation to the Sum of Independent Variates
- Moments of traces of circular beta-ensembles
- Uniform point variance bounds in classical beta ensembles
This page was built for publication: The Berry-Esseen theorem for circular \(\beta\)-ensemble