Small deviations for beta ensembles
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[1] H. Trotter. Eigenvalue distributions of large Hermitian matrices; Wigner's semi-circle law and a theorem of Kac, Murdock, and Szegö , 1984 .
[2] J. W. Silverstein. The Smallest Eigenvalue of a Large Dimensional Wishart Matrix , 1985 .
[3] C. Tracy,et al. Level-spacing distributions and the Airy kernel , 1992, hep-th/9211141.
[4] S. Aida,et al. Logarithmic Sobolev Inequalities and Exponential Integrability , 1994 .
[5] C. Tracy,et al. Mathematical Physics © Springer-Verlag 1996 On Orthogonal and Symplectic Matrix Ensembles , 1995 .
[6] J. Baik,et al. On the distribution of the length of the longest increasing subsequence of random permutations , 1998, math/9810105.
[7] P. Forrester,et al. Interrelationships between orthogonal, unitary and symplectic matrix ensembles , 1999, solv-int/9907008.
[8] K. Johansson. Shape Fluctuations and Random Matrices , 1999, math/9903134.
[9] A. Soshnikov. Universality at the Edge of the Spectrum¶in Wigner Random Matrices , 1999, math-ph/9907013.
[10] I. Johnstone. On the distribution of the largest eigenvalue in principal components analysis , 2001 .
[11] M. Ledoux. The concentration of measure phenomenon , 2001 .
[12] Pavel Bleher,et al. Random Matrix Models and Their Applications , 2001 .
[13] Jinho Baik,et al. Optimal tail estimates for directed last passage site percolation with geometric random variables , 2001 .
[14] A. Edelman,et al. Matrix models for beta ensembles , 2002, math-ph/0206043.
[15] Increasing subsequences and the hard-to-soft edge transition in matrix ensembles , 2002, math-ph/0205007.
[16] Noureddine El Karoui. On the largest eigenvalue of Wishart matrices with identity covariance when n, p and p/n tend to infinity , 2003, math/0309355.
[17] Michel Ledoux,et al. Differential Operators and Spectral Distributions of Invariant Ensembles from the Classical Orthogonal Polynomials. The Continuous Case , 2004 .
[18] A. Edelman,et al. From Random Matrices to Stochastic Operators , 2006, math-ph/0607038.
[19] M. Ledoux. Deviation Inequalities on Largest Eigenvalues , 2007 .
[20] Ohad N. Feldheim,et al. A Universality Result for the Smallest Eigenvalues of Certain Sample Covariance Matrices , 2008, 0812.1961.
[21] Craig A. Tracy,et al. Asymptotics in ASEP with Step Initial Condition , 2008, 0807.1713.
[22] M. Ledoux. A recursion formula for the moments of the Gaussian orthogonal ensemble , 2009 .
[23] Feng Qi (祁锋). Bounds for the Ratio of Two Gamma Functions , 2009 .
[24] Brian Rider,et al. Diffusion at the Random Matrix Hard Edge , 2008, 0803.2043.
[25] P. Forrester. Log-Gases and Random Matrices , 2010 .
[26] T. Tao,et al. Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge , 2009, 0908.1982.
[27] J. Ramírez,et al. Beta ensembles, stochastic Airy spectrum, and a diffusion , 2006, math/0607331.