IPS/Zeta Correspondence

Takashi Komatsu; Norio Konno; Iwao Sato

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arXiv · 2105.04056

IPS/Zeta Correspondence

Takashi Komatsu·Norio Konno·Iwao Sato

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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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Takashi Komatsu, Norio Konno, Iwao Sato. 2021-05-10. IPS/Zeta Correspondence. https://arxiv.org/abs/2105.04056

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