In a larger size Riemann–Hilbert problem matching the local parametrices with the global parametrix is often a major technical issue. In this article we present a result that should tackle this problem in natural situations. We prove that, in a general setting, it is possible to obtain a double matching, that is, a matching condition on two circles instead of one circle. We discuss how this matching approach can be used to obtain local scaling limits of correlation kernels and apply our result to several examples from the existing literature.

中文翻译：

---

大尺寸黎曼–希尔伯特问题的匹配条件

从更大的角度来看，将局部参数与全局参数匹配的黎曼–希尔伯特问题通常是一个主要的技术问题。在本文中，我们提出了一个应在自然情况下解决此问题的结果。我们证明，在一般情况下，可以获得双重匹配，即在两个圆而不是一个圆上的匹配条件。我们讨论了如何使用这种匹配方法来获得相关核的局部缩放极限，并将我们的结果应用于现有文献中的几个示例。