✦ LIBER ✦
Remarks on Decay of Correlations and Witten Laplacians Brascamp–Lieb Inequalities and Semiclassical Limit
✍ Scribed by Bernard Helffer
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 297 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
As it appears in recent articles by Helffer or Sjo strand and Naddaf Spencer, the analysis, in the context of the statistical mechanics, of measures of the type exp &8(x) dx is connected with the analysis of suitable Witten Laplacians on 1-forms. For illustrating this point of view, we present here remarks about the Brascamp Lieb inequalities and its extensions and prove the decay of the correlation in some cases when 8 is weakly non convex.