# Tridiagonal realization of the antisymmetric Gaussian Î²-ensemble

## Related Articles

- Precise asymptotics for random matrices and random growth models. Su, Zhong Gen // Acta Mathematica Sinica;Jun2008, Vol. 24 Issue 6, p971
The author considers the largest eigenvalues of random matrices from Gaussian unitary ensemble and Laguerre unitary ensemble, and the rightmost charge in certain random growth models. We obtain some precise asymptotics results, which are in a sense similar to the precise asymptotics for sums of...

- SUM THE MULTIPLICATIVE ODDS TO ONE AND STOP. // Journal of Applied Probability;Sep2010, Vol. 47 Issue 3, p761
No abstract available.

- Optimal maintenance scheduling for a complex manufacturing system subject to deterioration. Ahmadi, Reza // Annals of Operations Research;Jun2014, Vol. 217 Issue 1, p1
We address the problem of determining inspection strategy and replacement policy for a deteriorating complex multi-component manufacturing system whose state is partially observable. We develop inspection and replacement scheduling models and other simple maintenance scheduling models via...

- A GUE central limit theorem and universality of directed first andlast passage site percolation. Baik, Jinho; Suidan, Toufic M. // IMRN: International Mathematics Research Notices;2005, Vol. 2005 Issue 6, p325
We prove a GUE central limit theorem for random variables with finite fourth moment. We apply this theorem to prove that the directed first and last passage percolation problems in thin rectangles exhibit universal fluctuations given by the Tracy-Widom law.

- EIGENVALUES AND SINGULAR VALUES OF PRODUCTS OF RECTANGULAR GAUSSIAN RANDOM MATRICES -- THE EXTENDED VERSION. Burda, Zdzislaw; Nowak, Maciej A.; Jarosz, Andrzej; Livan, Giacomo; Swiech, Artur // Acta Physica Polonica B;May2011, Vol. 42 Issue 5, p939
This is a longer version of our article Burda et al., Phys. Rev. E82, 061114 (2010), containing more detailed explanations and providing pedagogical introductions to the methods we use. We consider a product of an arbitrary number of independent rectangular Gaussian random matrices. We derive...

- Eigenvalue distributions of random unitary matrices. Wieand, K. // Probability Theory & Related Fields;2002, Vol. 123 Issue 2, p202
Let U be an n Ã— n random matrix chosen from Haar measure on the unitary group. For a fixed arc of the unit circle, let X be the number of eigenvalues of M which lie in the specified arc. We study this random variable as the dimension n grows, using the connection between Toeplitz matrices...

- On surface integrals related to distributions of random matrices. Shvedov, A. // Siberian Mathematical Journal;Jan2012, Vol. 53 Issue 1, p182
We construct the first quadratic form and the volume element of the surface consisting of all positive semidefinite m Ã— m matrices of rank r with r distinct positive eigenvalues. We give the density function of the singular gamma distribution.

- DISTRIBUTION OF THE RATIO OF TWO INDEPENDENT DAGUM RANDOM VARIABLES. POLLASTRI, Angiola; ZAMBRUNO, Giovanni // Operations Research & Decisions;2011, Vol. 21 Issue 3/4, p95
An estimation procedure of the distribution of the ratio of two independent Dagum random variables is proposed. Such an issue is of remarkable importance when analyzing the characteristics of ratios of economic variables which can be described by the Dagum model. The distribution and density...

- Gaussian Orthogonal Ensemble for the Level Spacing Statistics of the Quantum Four-State Chiral Potts Model. Anglès d'Auriac, J.-Ch.; Dommange, S.; Mailllard, J.-M.; Viallet, C. M. // International Journal of Modern Physics B: Condensed Matter Phys;6/20/2002, Vol. 16 Issue 14/15, p2047
We have performed a Random Matrix Theory (RMT) analysis of the quantum four state chiral Potts chain for different sizes of the quantum chain up to eight sites, and for different unfolding methods. Our analysis shows that one generically has a Gaussian Orthogonal Ensemble statistics for the...