3 papers
math-ph2025
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…
math-ph2025
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{eq…
math.PR2024
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…