Samuel G. G. Johnston

collaborators

3 papers

math.PR2026

Log-concavity and concentration bounds for a single gap between GUE eigenvalues

We observe that the distribution of the eigenvalues of an $N$ -by- $N$ GUE random matrix is log-concave on $R^{N}$ , and that the same is true for the law of a single gap betwe…

math.PR2025

Explicit correlation functions for the six-vertex model in the free-fermion regime

Samuel G. G. Johnston, Rohan Shiatis

In this article, we show that, in the free-fermion regime of the six-vertex model, all $k$ -point correlation functions of vertex types admit a determinantal representation: \begin{…

math.PR2025

The Integrable Snake Model

Samuel G. G. Johnston, Rohan Shiatis

A pure snake configuration is a bijection $σ : Z^{2} \to Z^{2}$ containing no two-cycles and such that for each $x \in Z^{2}$ we have $σ(x) \in \{ x , x+ \mathbf…