3 citations · 8 across the 12 of their papers we have counts for
14 papers · 1 filter
Quasi-Pfaffians and applications
Claire Gilson, Shi-Hao Li, Guo-Fu Yu
This paper presents a non-commutative generalization of the Pfaffian which we call a quasi-Pfaffian. This novel concept arises from solving linear systems with non-commutative skew…
Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation
Shi-Hao Li, Satoshi Tsujimoto, Ryoto Watanabe +1
This paper intends to construct discrete spectral transformations for Cauchy-Jacobi orthogonal polynomials, and find its corresponding discrete integrable systems. It turns out tha…
-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…
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…