Precise asymptotics for beta ensembles
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Publication:358970
DOI10.1007/s13226-013-0020-0zbMath1276.15020OpenAlexW2086765642MaRDI QIDQ358970
Publication date: 9 August 2013
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-013-0020-0
random matricesextremal eigenvaluesGaussian unitary ensemblegeneral \(\beta\) Tracy-Widom lawLaguerre unitary ensemble\(\beta\)-ensemblessmall deviation inequalities
Random matrices (probabilistic aspects) (60B20) Inequalities involving eigenvalues and eigenvectors (15A42) Random matrices (algebraic aspects) (15B52)
Cites Work
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- Small deviations for beta ensembles
- Precise asymptotics for random matrices and random growth models
- Some strong limit theorems for weighted product sums of \(\widetilde{\rho}\)-mixing sequences of random variables
- A universality result for the smallest eigenvalues of certain sample covariance matrices
- Universality results for the largest eigenvalues of some sample covariance matrix ensembles
- Spectral analysis of large dimensional random matrices
- Level-spacing distributions and the Airy kernel
- A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
- Universality at the edge of the spectrum in Wigner random matrices.
- Optimal tail estimates for directed last passage site percolation with geometric random variables
- On orthogonal and symplectic matrix ensembles
- Shape fluctuations and random matrices
- Beta ensembles, stochastic Airy spectrum, and a diffusion
- An Introduction to Random Matrices
- On the distribution of the length of the longest increasing subsequence of random permutations
- Matrix models for beta ensembles
- The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
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