论文标题
Domany-Kinzel模型的IPS/Zeta对应
IPS/Zeta Correspondence for the Domany-Kinzel model
论文作者
论文摘要
先前的研究通过Konno-Sato定理或单粒模型的傅立叶分析提出了Zeta功能，包括随机步行，相关的随机步行，量子步行和开放量子随机步行。此外，还研究了具有概率或量子相互作用的多粒子模型的ZETA函数，称为相互作用粒子系统（IPS）。在本文中，我们关注一类IP的Zeta函数，包括Domany-Kinzel模型，Domany-Kinzel模型是统计力学和数学生物学领域中概率IP的典型模型。
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.
