IPS/Zeta Correspondence for the Domany-Kinzel model
Mathematical Physics
2026-01-01 v1 math.MP
Abstract
Previous studies presented zeta functions by the Konno-Sato theorem or the Fourier analysis for one-particle models, including random walks, correlated random walks, quantum walks, and open quantum random walks. Furthermore, the zeta functions for the multi-particle model with probabilistic or quantum interactions, called the interacting particle system (IPS), were also investigated. In this paper, we focus on the zeta function for a class of IPS, including the Domany-Kinzel model, which is a typical model of the probabilistic IPS in the field of statistical mechanics and mathematical biology.
Keywords
Cite
@article{arxiv.2206.03188,
title = {IPS/Zeta Correspondence for the Domany-Kinzel model},
author = {Chusei Kiumi and Norio Konno and Yuki Oshima},
journal= {arXiv preprint arXiv:2206.03188},
year = {2026}
}
Comments
16 pages, 3 figures