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Spectral Gap Inequalities on Nilpotent Lie Groups in Infinite Dimensions
- Publication Year :
- 2022
-
Abstract
- We develop a general framework for spectral gap inequalities for Gibbs measures on infinite dimensional spin spaces over nilpotent Lie groups in terms of weak U-bounds and weak single-site spectral gap inequalities. We then provide sufficient conditions on the local specification and give examples of measures constructed using the Kaplan norm and generalising a few results for the Carnot-Caratheodory distance on the Heisenberg group.<br />Comment: 37 pages, 6 sections
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2211.14188
- Document Type :
- Working Paper