Nagao, and P. van Moerbeke. Classical skew orthogonal polynomials and random matrices. J. Statist. Phys., 99(1-2):141-170, 2000.Adler M., Forrester P.J., Nagao T., van Moerbeke P.: Classical skew orthogonal polynomials and random matrices. J. Stat. Phys. 99 (1–2), 141–170 (...
Preface: "Complex ODEs: Asymptotics, orthogonal polynomials and random matrices" Skew orthogonal polynomials arise in the calculation of the n -point distribution function for the eigenvalues of ensembles of random matrices with orthogo... Y Chen,G Filipuk,MDN Rebocho,... 被引量: 0发表: 2020年...
(Gautschi [21]) Let X_P and X_Q be the Jacobi matrices for the original and modified orthonormal polynomials, \textbf{P}(x) and \textbf{Q}(x), respectively. Then there exists a unique infinite invertible upper triangular operator R: \ell ^0 \rightarrow \ell ^0 such that: 1. \te...
Correlation functions of real symmetric random matrix ensembles are expressed bycorreponding skew orthogonal polynomials. The skew orthogonal polynomialsre... N Taro,W Miki - 《Journal of the Physical Society of Japan》 被引量: 46发表: 1992年 Crossover ensembles of random matrices and skew-orthogon...
[20] P. Deift, Orthogonal Polynomials and Random Matrices: A Riemann– Hilbert Approach, Courant Lecture Notes, 1999. [21] F. Delyon, B. Simon, and B. Souillard, From power pure point to continuous spectrum in disordered systems, Annales Inst. Henri Poincar? e, 42(1985), 283–309. ...
Generalized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix t We obtain generalized Christoffel-Darboux (GCD) formula for skew-orthogonal polynomials (SOP). Using this, we present an alternative derivation of the level density and two-point function for Gaussian orthogonal ...
We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integral representations valid for arbitrary weight functions are derived for the SOP and for their Cauchy transforms, given as...
A Its,I Krasovsky - in "Integrable Systems and Random Matrices 被引量: 88发表: 2007年 Orthogonal Laurent Polynomials and Gaussian Quadrature The purpose of this paper is to introduce a class of orthogonal functions similar in many respects to the classical orthogonal polynomials [6]. These functi...
Classical Skew Orthogonal Polynomials and Random Matrices 热度: Orthogonal Polynomials and Related Approximation Results 热度: 相关推荐 a r X i v : q u a n t - p h / 0 3 0 6 0 1 2 v 2 2 6 N o v 2 0 0 3 Systemsoforthogonalpolynomialsdefinedby hypergeometrictypeequationswithap...
Askey, Classical orthogonal polynomials, in“Orthogonal Polynomials and Their Applications” (C. Brezinski et al., Eds.), Lecture Notes in Mathematics, Springer-Verlag, Berlin, in press. Google Scholar [Ap] A.I Aptekarev Asymptotic properties of polynomials orthogonal on a system of arcs and ...