Limit theorems and large deviations for \(\beta\)-Jacobi ensembles at scaling temperatures

DOI10.1007/s10114-023-2106-xzbMath1526.60025OpenAlexW4387876531MaRDI QIDQ6063343

Yu Tao Ma

Publication date: 7 November 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-023-2106-x

zbMATH Keywords

large deviation principlesemi-circle lawMarchenko-Pastur law\(\beta\)-Jacobi ensembleWachter law

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Large deviations (60F10) Random matrices (algebraic aspects) (15B52)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limit theorems for beta-Jacobi ensembles
• Characteristic vectors of bordered matrices with infinite dimensions
• Poisson statistics for matrix ensembles at large temperature
• Approximation of rectangular beta-Laguerre ensembles and large deviations
• The smallest eigenvalue of a large dimensional Wishart matrix
• Some asymptotic theory for the bootstrap
• The strong limits of random matrix spectra for sample matrices of independent elements
• Large deviations for Wigner's law and Voiculescu's non-commutative entropy
• On spectral measures of random Jacobi matrices
• Beta Laguerre ensembles in global regime
• Limit theorems for \(\beta\)-Laguerre and \(\beta\)-Jacobi ensembles
• Poisson statistics for beta ensembles on the real line at high temperature
• Large deviations principle for the largest eigenvalue of the Gaussian \(\beta \)-ensemble at high temperature
• Large Deviations for Random Spectral Measures and Sum Rules
• An Introduction to Random Matrices
• Eigenvalue Density of the Wishart Matrix and Large Deviations
• GLOBAL FLUCTUATIONS FOR LINEAR STATISTICS OF β-JACOBI ENSEMBLES
• The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain
• Large deviations for disordered bosons and multiple orthogonal polynomial ensembles
• DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES
• Approximation of beta-Jacobi ensembles by beta-Laguerre ensembles
• Unified limits and large deviation principles for \(\beta\)-Laguerre ensembles in global regime

This page was built for publication: Limit theorems and large deviations for \(\beta\)-Jacobi ensembles at scaling temperatures