2 citations · 2 across the 3 of their papers we have counts for
4 papers
Edgeworth expansions of extreme eigenvalue distributions for random unitary ensembles
Junwen Liu, Qianlu Mao, Lun Zhang
In this paper, we establish Edgeworth expansions of extreme eigenvalue distributions for two types random unitary ensembles at the spectral edges and reveal certain universal struc…
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…
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…
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…