A note on biorthogonal ensembles

[1]  P. Forrester.  Log-Gases and Random Matrices , 2010 .

[2]  Arno B. J. Kuijlaars,et al.  Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions , 2005, J. Approx. Theory.

[3]  Walter Van Assche,et al.  Pade and Hermite-Pade approximation and orthogonality , 2006, math/0609094.

[4]  P. Forrester,et al.  Asymptotic correlations for Gaussian and Wishart matrices with external source , 2006, math-ph/0604012.

[5]  K. Johansson.  Random matrices and determinantal processes , 2005, math-ph/0510038.

[6]  M. Stephanov,et al.  Random Matrices , 2005, hep-ph/0509286.

[7]  J. Baik.  Painlevé formulas of the limiting distributions for nonnull complex sample covariance matrices , 2005, math/0504606.

[8]  S. Péché.  The largest eigenvalue of small rank perturbations of Hermitian random matrices , 2004, math/0411487.

[9]  A. Borodin,et al.  Averages of characteristic polynomials in random matrix theory , 2004, math-ph/0407065.

[10]  Arno B.J. Kuijlaars,et al.  Integral representations for multiple Hermite and multiple Laguerre polynomials , 2004, math/0406616.

[11]  S. Péché,et al.  Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices , 2004, math/0403022.

[12]  A. Kuijlaars,et al.  Large n Limit of Gaussian Random Matrices with External Source, Part I , 2004, math-ph/0402042.

[13]  T. Guhr,et al.  The k-point random matrix kernels obtained from one-point supermatrix models , 2004, math-ph/0402018.

[14]  A. Kuijlaars,et al.  A Christoffel-Darboux formula for multiple orthogonal polynomials , 2004, J. Approx. Theory.

[15]  A. Kuijlaars,et al.  Random matrices with external source and multiple orthogonal polynomials , 2003, math-ph/0307055.

[16]  W. Assche,et al.  Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind , 2003 .

[17]  T. Nagao,et al.  Vicious walk with a wall, non-colliding meanders, chiral and Bogoliubov-deGennes random matrices , 2003 .

[18]  T. Nagao,et al.  Vicious walks with a wall, noncolliding meanders, and chiral and Bogoliubov-de Gennes random matrices. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  P. Zinn-Justin,et al.  On some integrals over the U(N) unitary group and their large N limit , 2002, math-ph/0209019.

[20]  W. Assche,et al.  Multiple Orthogonal Polynomials Associated with the Modified Bessel Functions of the First Kind , 2003 .

[21]  W. Van Assche,et al.  Multiple orthogonal polynomials for classical weights , 2003 .

[22]  A. Orlov.  New Solvable Matrix Integrals , 2002, nlin/0209063.

[23]  K. Frahm.  Equivalence of Fokker-planck Approach and Non-linear Σ-model for Disordered Wires in the Unitary Symmetry Class Typeset Using Revt E X , 2002 .

[24]  Neil O'Connell,et al.  Eigenvalues of the Laguerre Process as Non-Colliding Squared Bessel Processes , 2001 .

[25]  I. Johnstone.  On the distribution of the largest eigenvalue in principal components analysis , 2001 .

[26]  W. Assche,et al.  Some classical multiple orthogonal polynomials , 2001, math/0103131.

[27]  P. Deift.  Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach , 2000 .

[28]  Alexei Borodin.  Biorthogonal ensembles , 1998 .

[29]  É. Brézin,et al.  Level spacing of random matrices in an external source , 1998, cond-mat/9804024.

[30]  P. Zinn-Justin.  Universality of Correlation Functions of Hermitian Random Matrices in an External Field , 1997, cond-mat/9705044.

[31]  P. Zinn-Justin.  Random Hermitian matrices in an external field , 1997, cond-mat/9703033.

[32]  J. Verbaarschot,et al.  Finite volume partition functions and Itzykson-Zuber integrals , 1996, hep-th/9605183.

[33]  S. Hikami,et al.  Correlations of nearby levels induced by a random potential , 1996 .

[34]  Frahm.  Equivalence of the Fokker-Planck approach and the nonlinear sigma model for disordered wires in the unitary symmetry class. , 1995, Physical review letters.

[35]  K. Muttalib.  Random matrix models with additional interactions , 1995 .

[36]  P. Forrester.  Exact results and universal asymptotics in the Laguerre random matrix ensemble , 1994 .

[37]  Beenakker,et al.  Nonlogarithmic repulsion of transmission eigenvalues in a disordered wire. , 1993, Physical review letters.

[38]  P. Forrester.  The spectrum edge of random matrix ensembles , 1993 .

[39]  G. Szegő.  Zeros of orthogonal polynomials , 1939 .