标题： 相互作用粒子系统的量化 显示英文标题

标题： A quantization of interacting particle systems

摘要： 本文研究的相互作用粒子系统是具有最近邻相互作用的概率细胞自动机，包括Domany-Kinzel模型。 Domany-Kinzel模型的一个特例是定向渗流。 我们将相互作用粒子系统视为图上的马尔可夫链。 然后我们提出一种相互作用粒子系统的新的量化方法。 之后，我们引入量化模型的Zeta函数并给出其行列式表达式。 此外，我们计算了Domany-Kinzel模型的量化模型的绝对Zeta函数。 显示英文摘要

摘要： Interacting particle systems studied in this paper are probabilistic cellular automata with nearest-neighbor interaction including the Domany-Kinzel model. A special case of the Domany-Kinzel model is directed percolation. We regard the interacting particle system as a Markov chain on a graph. Then we present a new quantization of the interacting particle system. After that, we introduce a zeta function of the quantized model and give its determinant expression. Moreover, we calculate the absolute zeta function of the quantized model for the Domany-Kinzel model.