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Article Dans Une Revue International Mathematics Research Notices Année : 2016

Large-x Analysis of an Operator-Valued Riemann–Hilbert Problem

Résumé

The purpose of this paper is to push forward the theory of operator-valued Riemann-Hilbert problems and demonstrate their effectiveness in respect to the implementation of a non-linear steepest descent method a la Deift-Zhou. In this paper, we demonstrate that the operator-valued Riemann-Hilbert problem arising in the characterization of so-called c-shifted integrable integral operators allows one to extract the large-x asymptotics of the Fredholm determinant associated with such operators.

Dates et versions

hal-01412826 , version 1 (08-12-2016)

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Citer

A. R. Its, Karol K. Kozlowski. Large-x Analysis of an Operator-Valued Riemann–Hilbert Problem. International Mathematics Research Notices, 2016, 2016 (6), pp.1776-1806. ⟨10.1093/imrn/rnv188⟩. ⟨hal-01412826⟩
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