Convergence of the Stochastic Six-Vertex Model to the ASEP

TL;DR

This paper proves that the stochastic six-vertex model converges to the ASEP in a specific limit, confirming recent predictions and applying to any initial configuration.

Contribution

It rigorously establishes the convergence of the stochastic six-vertex model to ASEP under a particular limit, extending previous heuristic predictions.

Findings

Convergence holds for arbitrary initial data.

Confirms recent theoretical predictions.

Provides a rigorous mathematical proof.

Abstract

In this note we establish the convergence of the stochastic six-vertex model to the one-dimensional asymmetric simple exclusion process, under a certain limit regime recently predicted by Borodin-Corwin-Gorin. This convergence holds for arbitrary initial data.