1 citations · 2 across the 2 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math-ph2018
Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations
Dan Dai, Shuai-Xia Xu, Lun Zhang
In this paper, we study the singularly perturbed Gaussian unitary ensembles defined by the measure \begin{equation*} \frac{1}{C_n} e^{- n\textrm{tr}\, V(M;λ,\vec{t}\;)}dM, \end{equ…
math-ph2018
Asymptotics of partition functions in a fermionic matrix model and of related -polynomials
Dan Dai, Mourad E. H. Ismail, Xiang-Sheng Wang
In this paper, we study asymptotics of the thermal partition function of a model of quantum mechanical fermions with matrix-like index structure and quartic interactions. This part…