138 citations · 725 across the 47 of their papers we have counts for
17 papers · 1 filter
Painlevé V for a Jacobi unitary ensemble with random singularities
Mengkun Zhu, Chuanzhong Li, Yang Chen
In this paper, we focus on the relationship between the fifth Painlevé equation and a Jacobi weight perturbed with random singularities, \begin{equation*} w(z)=\left(1-z^2\right)^α…
The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight
Mengkun Zhu, Yang Chen, Chuanzhong Li
An asymptotic expression of the orthonormal polynomials as , associated with the singularly perturbed Laguerre weight $w_α(x;t)=x^α{\rm e}^…
Inner Product in Highest-Weight Representation
Chuanzhong Li, Zhisheng Liu, Bao Shou
In this paper, we study the inner product of states corresponding to weights of finite-dimensional highest-weight representations of classical groups. We prove that the action of t…
Coupled Hall-Littlewood functions, vertex operators and the -boson model
Na Wang, Chuanzhong Li
In this paper, we firstly give the definition of the coupled Hall-Littlewood function and its realization in terms of vertex operators. Then we construct the representation of the…
Universal Character, Phase Model and Topological Strings on
Na Wang, Chuanzhong Li
In this paper, we consider two different subjects: the algebra of universal characters (a generalization of Schur functions) and the phase model of str…
Rigid Surface Operator and Symbol Invariant of Partitions
Chuanzhong Li, Bao Shou
The symbol is used to describe the Springer correspondence for the classical groups by Lusztig. We refine the explanation that the -duality maps of the rigid surface operators a…