Published August 3, 2017
| Version Submitted
Journal Article
Open
q-deformations of statistical mechanical systems and motives over finite fields
Abstract
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 F_1 and to categorifications of Bost-Connes systems.
Additional Information
© 2017 Pleiades Publishing, Ltd. Received: 05 May 2017; First Online: 03 August 2017. The first author was partially supported by NSF grants DMS-1201512, DMS-1707882 and PHY-1205440. The second author was supported by a Summer Undergraduate Research Fellowship at Caltech.Attached Files
Submitted - 1704.06367.pdf
Files
1704.06367.pdf
Additional details
Identifiers
- Eprint ID
- 78989
- DOI
- 10.1134/S2070046617030049
- Resolver ID
- CaltechAUTHORS:20170712-084525536
Related works
- Describes
- https://arxiv.org/abs/1704.06367 (URL)
Funding
- NSF
- DMS-1201512
- NSF
- DMS-1707882
- NSF
- PHY-1205440
- Caltech Summer Undergraduate Research Fellowship (SURF)
Dates
- Created
-
2017-07-12Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department