3 citations · 3 across the 6 of their papers we have counts for
7 papers
Computing marginal eigenvalue distributions for the Gaussian and Laguerre orthogonal ensembles
Peter J. Forrester, Santosh Kumar, Bo-Jian Shen
The Gaussian and Laguerre orthogonal ensembles are fundamental to random matrix theory, and the marginal eigenvalue distributions are basic observable quantities. Notwithstanding a…
Expanding the Fourier transform of the scaled circular Jacobi ensemble density
Peter J. Forrester, Bo-Jian Shen
The family of circular Jacobi ensembles has a singularity of a type associated with Fisher and Hartwig in the theory of Toeplitz determinants. Our interest is in the Fourier tr…
Multiple skew orthogonal polynomials and 2-component Pfaff lattice hierarchy
Shi-Hao Li, Bo-Jian Shen, Jie Xiang +1
In this paper, we introduce multiple skew-orthogonal polynomials and investigate their connections with classical integrable systems. By using Pfaffian techniques, we show that mul…
Discrete orthogonal ensemble on the exponential lattices
Peter J Forrester, Shi-Hao Li, Bo-Jian Shen +1
Inspired by Aomoto's -Selberg integral, the orthogonal ensemble in the exponential lattice is considered in this paper. By introducing a skew symmetric kernel, the configuration…
-Pearson pair and moments in -deformed ensembles
Peter J Forrester, Shi-Hao Li, Bo-Jian Shen +1
The generalisation of continuous orthogonal polynomial ensembles from random matrix theory to the -lattice setting is considered. We take up the task of initiating a systematic…
Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials
Bo-Jian Shen, Shi-Hao Li, Guo-Fu Yu
This paper is to evaluate certain Catalan-Hankel Pfaffians by the theory of skew orthogonal polynomials. Due to different kinds of hypergeometric orthogonal polynomials underlying…
Matrix integral solutions to the related Leznov lattice equations
Bo-Jian Shen, Guo-Fu Yu
Matrix integrals used in random matrix theory for the study of eigenvalues of matrix ensembles have been shown to provide -functions for several hierarchies of integrable equat…