30 citations · 128 across the 29 of their papers we have counts for
6 papers · 1 filter
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics
Mario Kieburg, Shi-Hao Li, Jiyuan Zhang +1
The framework of spherical transforms and Pólya ensembles is of utility in deriving structured analytic results for sums and products of random matrices in a unified way. In the pr…
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…
Christoffel transformations for (partial-)skew-orthogonal polynomials and applications
Shi-Hao Li, Guo-Fu Yu
In this article, we consider the Christoffel transformations for skew-orthogonal polynomials and partial-skew-orthogonal polynomials. We demonstrate that the Christoffel transforma…
Two-parameter generalisations of Cauchy bi-orthogonal polynomials and integrable lattices
Xiang-Ke Chang, Shi-Hao Li, Satoshi Tsujimoto +1
In this article, we consider the generalised two-parameter Cauchy two-matrix model and corresponding integrable lattice equation. It is shown that with parameters chosen as …
Discrete integrable systems and condensation algorithms for Pfaffians
Shi-Hao Li
Inspired by the connection between the Dodgson's condensation algorithm and Hirota's difference equation, we consider condensation algorithms for Pfaffians from the perspectives of…