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arXiv · 2206.03188

IPS/Zeta Correspondence for the Domany-Kinzel model

Chusei Kiumi·Norio Konno·Yuki Oshima
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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.

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Chusei Kiumi, Norio Konno, Yuki Oshima. 2022-06-07. IPS/Zeta Correspondence for the Domany-Kinzel model. https://doi.org/10.4036/iis.2024.r.04

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