47 citations · 224 across the 18 of their papers we have counts for
10 papers · 1 filter
Asymptotics of free fermions in a quadratic well at finite temperature and the Moshe-Neuberger-Shapiro random matrix model
Karl Liechty, Dong Wang
We derive the local statistics of the canonical ensemble of free fermions in a quadratic potential well at finite temperature, as the particle number approaches infinity. This free…
Domain wall six-vertex model with half-turn symmetry
Pavel Bleher, Karl Liechty
We obtain asymptotic formulas for the partition function of the six-vertex model with domain wall boundary conditions and half-turn symmetry in each of the phase regions. The proof…
Six-vertex model with partial domain wall boundary conditions: ferroelectric phase
Pavel Bleher, Karl Liechty
We obtain an asymptotic formula for the partition function of the six-vertex model with partial domain wall boundary conditions in the ferroelectric phase region. The proof is base…
Tail decay for the distribution of the endpoint of a directed polymer
Thomas Bothner, Karl Liechty
We obtain an asymptotic expansion for the tails of the random variable $\tcal=\arg\max_{u\in\mathbb{R}}(\mathcal{A}_2(u)-u^2)$ where is the Airy process. Using…
Riemann-Hilbert Approach to the Six-Vertex Model
Pavel Bleher, Karl Liechty
The six-vertex model, or the square ice model, with domain wall boundary conditions (DWBC) has been introduced and solved for finite by Korepin and Izergin. The solution is bas…
Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials
Karl Liechty
We study the distribution of the maximal height of the outermost path in the model of nonintersecting Brownian motions on the half-line as , showing that it conver…
Uniform Asymptotics for Discrete Orthogonal Polynomials with Respect to Varying Exponential Weights on a Regular Infinite Lattice
Pavel Bleher, Karl Liechty
We consider the large- asymptotics of a system of discrete orthogonal polynomials on an infinite regular lattice of mesh , with weight , where is…
Exact solution of the six-vertex model with domain wall boundary conditions. Antiferroelectric phase
Pavel Bleher, Karl Liechty
We obtain the large asymptotics of the partition function of the six-vertex model with domain wall boundary conditions in the antiferroelectric phase region, with the wei…
Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases
Pavel Bleher, Karl Liechty
This is a continuation of the papers [4] of Bleher and Fokin and [5] of Bleher and Liechty, in which the large asymptotics is obtained for the partition function of the s…
Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase
Pavel Bleher, Karl Liechty
This is a continuation of the paper [4] of Bleher and Fokin, in which the large asymptotics is obtained for the partition function of the six-vertex model with domain wal…