278 citations · 1.7k across the 68 of their papers we have counts for
5 papers · 1 filter
Large-x analysis of an operator valued Riemann-Hilbert problem
A. R. Its, K. K. Kozlowski
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-li…
The asymptotic behaviour of the discrete holomorphic map via the Riemann-Hilbert method
Alexander I. Bobenko, Alexander Its
We study the asymptotic behavior of the discrete analogue of the holomorphic map . The analysis is based on the use of the Riemann-Hilbert approach. Specifically, using the De…
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential I
Thomas Bothner, Percy Deift, Alexander Its +1
We study the determinant , of the integrable Fredholm operator acting on the interval with kernel . This…
Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks
A. Its, O. Lisovyy, Yu. Tykhyy
The short-distance expansion of the tau function of the radial sine-Gordon/Painlevé III equation is given by a convergent series which involves irregular conformal blocks and…
Periodic problem for the nonlinear Schroedinger equation
Vladimir Kotlyarov, Alexander Its
The paper offers the method of discovering of some class of solutions for the nonlinear Schroedinger equation. An algorithm of constructive solving of the Cauchy periodic problem w…