Browsing by Author "Kozlowski, Karol K."

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Riemann–Hilbert approach to a generalized sine kernel
    (Springer Link, 2020-02-01) Gharakhloo, Roozbeh; Its, Alexander R.; Kozlowski, Karol K.; Mathematical Sciences, School of Science
    We derive the large-distance asymptotics of the Fredholm determinant of the so-called generalized sine kernel at the critical point. This kernel corresponds to a generalization of the pure sine kernel arising in the theory of random matrices and has potential applications to the analysis of the large-distance asymptotic behaviour of the so-called emptiness formation probability for various quantum integrable models away from their free fermion point.