3 citations · 8 across the 10 of their papers we have counts for
14 papers
-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…
Matrix Orthogonal Polynomials, non-abelian Toda lattice and Bäcklund transformation
Shi-Hao Li
A connection between matrix orthogonal polynomials and non-abelian integrable lattices is investigated in this paper. The normalization factors of matrix orthogonal polynomials exp…
Moments of quantum purity and biorthogonal polynomial recurrence
Shi-Hao Li, Lu Wei
The Bures-Hall ensemble is a unique measure of density matrices that satisfies various distinguished properties in quantum information processing. In this work, we study the statis…
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…
Asymptotic correlations with corrections for the circular Jacobi -ensemble
Peter J. Forrester, Shi-Hao Li, Allan K. Trinh
Previous works have considered the leading correction term to the scaled limit of various correlation functions and distributions for classical random matrix ensembles and their $β…
Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices
Peter J. Forrester, Shi-Hao Li
The theory of Pólya ensembles of positive definite random matrices provides structural formulas for the corresponding biorthogonal pair, and correlation kernel, which are well suit…