278 citations · 1.7k across the 68 of their papers we have counts for
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The Nonlinear Schrödinger Equation on the Interval
A. S. Fokas, A. R. Its
Let satisfy the Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation on the finite interval, , with , $g_{0}(t) =…
Entanglement in XY Spin Chain
A. R. Its, B. -Q. Jin, V. E. Korepin
We consider the ground state of the XY model on an infinite chain at zero temperature. Following Bennett, Bernstein, Popescu, and Schumacher we use entropy of a sub-system as a mea…
Asymptotics of the partition function of a random matrix model
Pavel Bleher, Alexander Its
We prove a number of results concerning the large asymptotics of the free energy of a random matrix model with a polynomial potential . Our approach is based on a deforma…
A Riemann-Hilbert Approach to the Akhiezer Polynomials
Y. Chen, A. Its
In this paper we study those polynomials orthogonal with respect to a particular weight over the union of disjoint intervals first introduced by N.I. Akhiezer, via a reformulation…