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Q-deformations of Statistical Mechanical Systems and Motives Over Finite Fields by Marcolli, Matilde; Ren, Zhi is a scholarly article available to read on EtoBox.

What is Q-deformations of Statistical Mechanical Systems and Motives Over Finite Fields about?

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.

Author

Marcolli, Matilde; Ren, Zhi

Published

2017

Language

EN