有限域上统计力学系统的q-变形和动力
q-deformations of statistical mechanical systems and motives over finite fields
摘要：
我们考虑的维特环的q-变形，基于几何操作的zeta函数的动机在有限域上，我们使用这些变形来构建q-类似物的Bost-Connes量子统计力学系统。我们表明，以这种方式获得的q-变形可以与哈比罗环结构的解析函数在域上的一个元素和Bost-Connes系统的简化。
英文摘要：
We consider q-deformations of Witt rings, based on geometric operations on zeta functions of motives over finite fields, and we use these deformations to construct q-analogs of the Bost-Connes quantum statistical mechanical system. We show that the q-deformations obtained in this way can be related to Habiro ring constructions of analytic functions over the field with one element and to categorifications of Bost-Connes systems.
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