2 citations · 4 across the 9 of their papers we have counts for
9 papers
Asymptotics for the noncommutative Painlevé II equation
Junwen Liu, Luming Yao, Lun Zhang
In this paper, we are concerned with the following noncommutative Painlevé II equation \begin{equation*} \mathbf{D}^2 β_1 = 4\mathbf{s} β_1 +4 β_1 \mathbf{s} +8 β_1^3, \end{equatio…
The multiplicative constant in asymptotics of higher-order analogues of the Tracy-Widom distribution
Dan Dai, Wen-Gao Long, Shuai-Xia Xu +2
In this paper, we are concerned with higher-order analogues of the Tracy-Widom distribution, which describe the eigenvalue distributions in unitary random matrix models near critic…
Large gap asymptotics of the hard edge tacnode process
Junwen Liu, Luming Yao, Lun Zhang
A special type of geometric situation in ensembles of non-intersecting paths occurs when the non-intersecting trajectories are required to be nonnegative so that the limit shape be…
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region
Dan Dai, Luming Yao, Yu Zhai
In this paper, we investigate a determinantal point process on the interval , associated with the confluent hypergeometric kernel. Let denote the tr…
Asymptotic expansion of the hard-to-soft edge transition
Luming Yao, Lun Zhang
By showing that the symmetrically transformed Bessel kernel admits a full asymptotic expansion for large parameter, we establish a hard-to-soft edge transition expansion. This reso…
On the gap probability of the tacnode process
Luming Yao, Lun Zhang
The tacnode process is a universal determinantal point process arising from non-intersecting particle systems and tiling problems. It is the aim of this work to explore the integra…
Asymptotics of the hard edge Pearcey determinant
Luming Yao, Lun Zhang
We study the Fredholm determinant of an integral operator associated to the hard edge Pearcey kernel. This determinant appears in a variety of random matrix and non-intersecting pa…
Uniform asymptotics for the discrete Laguerre polynomials
Dan Dai, Luming Yao
In this paper, we consider the discrete Laguerre polynomials orthogonal with respect to the weight function supported on the infinite nodes $L_…
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…