Asymptotics of the deformed higher order Airy-kernel determinants and applications

Jun Xia, Yi-Fan Hao, Shuai-Xia Xu +2

We study the one-parameter family of Fredholm determinants $\det (I-{\rho }^2{\mathcal{K}}_{n,x})$, $\rho \in \mathbb{R}$, where ${\mathcal{K}}_{n,x}$ stands for the integral operator acting on $L…