The matching condition for larger size Riemann-Hilbert problems Articles uri icon

publication date

  • March 2021

start page

  • 1

end page

  • 34

issue

  • 105536

volume

  • 263

International Standard Serial Number (ISSN)

  • 0021-9045

Electronic International Standard Serial Number (EISSN)

  • 1096-0430

abstract

  • 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.

subjects

  • Mathematics

keywords