论文标题
硬边缘皮尔西决定因素的渐近造
Asymptotics of the hard edge Pearcey determinant
论文作者
论文摘要
我们研究了与硬边缘皮尔西内核相关的积分运算符的弗雷霍尔姆决定因素。该决定因素出现在各种随机矩阵和非相互作用路径模型中。通过将弗雷德尔姆决定因素的对数衍生物与$ 3 \ times 3 $ riemann-hilbert问题联系起来，我们获得了决定因素的渐近学，这也称为相应点过程的较大差距渐近学。
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 paths models. By relating the logarithmic derivatives of the Fredholm determinant to a $3 \times 3$ Riemann-Hilbert problem, we obtain asymptotics of the determinant, which is also known as the large gap asymptotics for the corresponding point process.
