1 citations · 2 across the 2 of their papers we have counts for
5 papers · 1 filter
Asymptotics of Fredholm determinant associated with the Pearcey kernel
Dan Dai, Shuai-Xia Xu, Lun Zhang
The Pearcey kernel is a classical and universal kernel arising from random matrix theory, which describes the local statistics of eigenvalues when the limiting mean eigenvalue dens…
The distribution function for the maximal height of non-intersecting Bessel paths
Dan Dai, Luming Yao
In this paper, we consider non-intersecting Bessel paths starting at , and conditioned to end at the origin . We derive the explicit formula of the distribution…
On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation
Dan Dai, Shuai-Xia Xu, Lun Zhang
We consider a family of tronquée solutions of the Painelvé II equation \begin{equation*} q''(s)=2q(s)^3+sq(s)-(2α+\frac12), \qquad α> -\frac12, \end{equation*} which is characteriz…
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…
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…