IPS/Zeta Correspondence


Abstract in English

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 presents a zeta function for multi-particle models with probabilistic or quantum interactions, called the interacting particle system (IPS). The zeta function for the tensor-type IPS is computed.

Download