Shi‐Hao Li

activity

20172025

most citedPartial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions

30 citations · 128 across the 29 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math-ph2019★ 3 cited

Classical skew orthogonal polynomials in a two-component log-gas with charges $+ 1$ and $+ 2$

Peter J Forrester, Shi-Hao Li

There is a two-component log-gas system with Boltzmann factor which provides an interpolation between the eigenvalue PDF for $β = 1$ and $β = 4$ invariant random matrix ensembles. Th…

nlin.SI2019★ 3 cited

Rank shift conditions and reductions of 2d-Toda theory

Shi-Hao Li, Guo-Fu Yu

This paper focuses on different reductions of 2-dimensional (2d-)Toda hierarchy. Symmetric and skew symmetric moment matrices are firstly considered, resulting in the differential…

math-ph2019★ 1 cited

Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions

Peter J Forrester, Shi-Hao Li

The eigenvalue probability density function for symplectic invariant random matrix ensembles can be generalised to discrete settings involving either a linear or exponential lattic…

Classical skew orthogonal polynomials in a two-component log-gas with charges +1 and +2

Rank shift conditions and reductions of 2d-Toda theory

Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions

Classical skew orthogonal polynomials in a two-component log-gas with charges $+ 1$ and $+ 2$