Steady state representations for the harmonic process
Mathematical Physics
2026-04-14 v2 Statistical Mechanics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this note we discuss how the matrix product solution for the steady state of the harmonic process is obtained from the solutions already known in the literature, i.e. the closed-form expression derived in arXiv:2107.01720 and the nested integral form obtained in arXiv:2307.02793 and arXiv:2307.14975. Our results clarify the relation between the three representations of the steady state and provide the matrix product solution that has not been available for this model before.
Cite
@article{arxiv.2507.20436,
title = {Steady state representations for the harmonic process},
author = {Rouven Frassek},
journal= {arXiv preprint arXiv:2507.20436},
year = {2026}
}
Comments
15 pages, v2: minor changes