Gharakhloo, RoozbehIts, Alexander R.Kozlowski, Karol K.2021-10-152021-10-152020-02-01Gharakhloo, R., Its, A. R., & Kozlowski, K. K. (2020). Riemann–Hilbert approach to a generalized sine kernel. Letters in Mathematical Physics, 110(2), 297–325. https://doi.org/10.1007/s11005-019-01218-31573-0530https://hdl.handle.net/1805/26788We 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.enIUPUI Open Access PolicyRiemann-Hilbert approachgeneralized sine kernelFredholm determinantArticle