IPS/Zeta Correspondence

• URL: http://arxiv.org/abs/2105.04056v6
• Date: Sun, 6 Feb 2022 06:13:19 GMT
• Title: IPS/Zeta Correspondence
• Authors: Takashi Komatsu, Norio Konno, Iwao Sato
• Abstract summary: This paper introduces a new zeta function for multi-particle models with probabilistic or quantum interactions, called the interacting particle system (IPS) We compute the zeta function for some tensor-type IPSs.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Our previous works 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. This paper introduces a new zeta function for multi-particle models with probabilistic or quantum interactions, called the interacting particle system (IPS). We compute the zeta function for some tensor-type IPSs.

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