Asymptotics of the Hard Edge Pearcey Determinant
Asymptotics of the Hard Edge Pearcey Determinant
.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 nonintersecting paths models. By relating the logarithmic derivatives of the Fredholm determinant to a \(3 \times 3\) Riemann–Hilbert problem, we obtain asymptotics of the …