Skip to Main content Skip to Navigation
Journal articles

Riemann-Hilbert approach to a generalized sine kernel and applications

Abstract : We investigate the asymptotic behavior of a generalized sine kernel acting on a finite size interval [-q,q]. We determine its asymptotic resolvent as well as the first terms in the asymptotic expansion of its Fredholm determinant. Further, we apply our results to build the resolvent of truncated Wiener--Hopf operators generated by holomorphic symbols. Finally, the leading asymptotics of the Fredholm determinant allows us to establish the asymptotic estimates of certain oscillatory multidimensional coupled integrals that appear in the study of correlation functions of quantum integrable models.
Complete list of metadata

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00283404
Contributor : Jean Michel Maillet Connect in order to contact the contributor
Submitted on : Wednesday, October 5, 2011 - 9:47:14 AM
Last modification on : Monday, January 25, 2021 - 2:38:02 PM
Long-term archiving on: : Friday, January 6, 2012 - 2:21:32 AM

Files

GSKfinal-CMP.pdf
Files produced by the author(s)

Identifiers

Citation

N. Kitanine, Karol Kozlowski, Jean Michel Maillet, N. A. Slavnov, Véronique Terras. Riemann-Hilbert approach to a generalized sine kernel and applications. Communications in Mathematical Physics, Springer Verlag, 2009, 291 (3), pp.691-761. ⟨10.1007/s00220-009-0878-1⟩. ⟨ensl-00283404v3⟩

Share

Metrics

Record views

559

Files downloads

495