Dan Dai

most citedPainlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

4 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2014★ 4 cited

Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao

In this paper, we consider the Hankel determinants associated with the singularly perturbed Laguerre weight $w (x) = x^{α} e^{- x - t / x}$ , $x \in (0, \infty)$ , $t > 0$ and $α > 0$ . When the matr…

math.CA2013

Asymptotics of the partition function of a Laguerre-type random matrix model

Yi Zhao, Lihua Cao, Dan Dai

We study asymptotics of the partition function $Z_{N}$ of a Laguerre-type random matrix model when the matrix order $N$ tends to infinity. By using the Deift-Zhou steepest descent me…