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A note on Talagrand's positivity principle

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	A note on Talagrand's positivity principle
2.	Creator	Author's name, affiliation, country	Dmitriy Panchenko; Massachusetts Institute of Technology, USA
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Talagrand's positivity principle, Ghirlanda-Guerra identities
3.	Subject	Subject classification	60K35, 82B44
4.	Description	Abstract	Talagrand's positivity principle states that one can slightly perturb a Hamiltonian in the Sherrington-Kirkpatrick model in such a way that the overlap of two configurations under the perturbed Gibbs' measure will become typically nonnegative. In this note we observe that abstracting from the setting of the SK model only improves the result and does not require any modifications in Talagrand's argument. In this version, for example, positivity principle immediately applies to the setting of replica symmetry breaking interpolation. Also, abstracting from the SK model improves the conditions in the Ghirlanda-Guerra identities and as a consequence results in a perturbation of smaller order necessary to ensure positivity of the overlap.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2007-10-21
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1326
10.	Identifier	Digital Object Identifier	10.1214/ECP.v12-1326
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 12
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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