Rohan Shiatis

collaborators

3 papers

math.PR2026

Exclusion vs Noncolliding Dynamics in Markov Processes

Rohan Shiatis

Let $(ξ_{t})_{t \geq 0}$ be a continuous-time Markov process taking values in a countable state space $E$ . We consider $k$ copies of $ξ$ started from distinct positions, and write $X…

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…