3 citations · 3 across the 3 of their papers we have counts for
4 papers
Hankel Determinant Approach to Generalized Vorob'ev-Yablonski Polynomials and their Roots
Ferenc Balogh, Marco Bertola, Thomas Bothner
Generalized Vorob'ev-Yablonski polynomials have been introduced by Clarkson and Mansfield in their study of rational solutions of the second Painlevé hierarchy. We present new Hank…
Asymptotics of a cubic sine kernel determinant
Thomas Bothner, Alexander Its
We study the one parameter family of Fredholm determinants of an integrable Fredholm operator acting on the…
Asymptotics of a Fredholm determinant involving the second Painlevé transcendent
Thomas Bothner, Alexander Its
We study the determinant of an integrable Fredholm operator acting on the interval whose kernel is constructed out of…
Exact solution of the six-vertex model with domain wall boundary conditions. Critical line between disordered and antiferroelectric phases
Pavel Bleher, Thomas Bothner
In the present article we obtain the large asymptotics of the partition function of the six-vertex model with domain wall boundary conditions on the critical line between…