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A Brascamp-Lieb type covariance estimate

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1.	Title	Title of document	A Brascamp-Lieb type covariance estimate
2.	Creator	Author's name, affiliation, country	Georg Menz; Stanford University; United States
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	decay of correlations, Brascamp-Lieb, lattice systems, continuous spin.
3.	Subject	Subject classification	Primary 82B20, secondary 60K35, 82C26.
4.	Description	Abstract	In this article, we derive a new covariance estimate. The estimate has a similar structure as the Brascamp-Lieb inequality and is optimal for ferromagnetic Gaussian measures. It can be naturally applied to deduce decay of correlations of lattice systems of continuous spins. We also discuss the relation of the new estimate with known estimates like a weighted estimate due to Helffer & Ledoux. The main ingredi.ent of the proof of the new estimate is a directional Poincaré inequality which seems to be unknown.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Stanford University, Max-Planck Institute for Mathematics in the Sciences, Leipzig, Germany, Deutsche Forschungsgemeinschaft, Bonn International Graduate School in Mathematics.
7.	Date	(YYYY-MM-DD)	2014-08-30
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/2997
10.	Identifier	Digital Object Identifier	10.1214/EJP.v19-2997
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 19
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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