Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles

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Random matrix theory in statistics: A review (2014, methodology): “Jiang (2009) proved Tracy–Widom limits for the largest eigenvalue of the Jacobi ensemble under a different asymptotic regime where m2=n-1 while p=n-γAð0;1Þ, which essentially corresponds to having m 1U Ip (Fig.”
Approximation of Rectangular Beta-Laguerre Ensembles and Large Deviations (2013, methodology): “This paper together with the work by Jiang [36,37] says that, as the parameters of the last two matrices are in extreme relationships, we have Jacobi → Laguerre → Hermite.”
Spectral Radii of Large Non-Hermitian Random Matrices (2014, background): “Let U be an n×n Haarinvariant unitary matrix [see, e.g., Diaconis and Evans (2001) and Jiang (2009, 2010)].”
Around the circular law (2011, background): “Other results of the same flavor can be found in [89].”
GLOBAL FLUCTUATIONS FOR LINEAR STATISTICS OF β-JACOBI ENSEMBLES (2012, background): “The later work of Kusalik, Mingo, and Speicher [30] builds on [12] and on results obtained by Mingo and Nica [35] to obtain fluctuations (second-order asymptotics) for random matrices (also in the case β = 2).”
Fluctuations of eigenvalues and second order Poincaré inequalities (2007, methodology): “This is a gaussian Toeplitz matrix, of the kind recently considered in Bryc, Dembo, and Jiang [13] and also in M. Meckes [40] and Bose and Sen [11].”