Formulas for Joint Probabilities for the Asymmetric Simple Exclusion Process

TL;DR

This paper derives integral formulas for joint probabilities of multiple particles in the asymmetric simple exclusion process, simplifying previous single-particle derivations and advancing the understanding of multi-particle dynamics.

Contribution

It provides new integral formulas for joint probabilities in ASEP, extending previous single-particle results and simplifying the derivation process.

Findings

Derived integral formulas for joint probabilities of multiple particles

Simplified derivation for single-particle probabilities compared to earlier work

Enhanced mathematical tools for analyzing ASEP dynamics

Abstract

In earlier work the authors obtained integral formulas for probabilities for a single particle in the asymmetric simple exclusion process. Here formulas are obtained for joint probabilities for several particles. In the case of a single particle the derivation here is simpler than the one in the earlier work for one of its main results.