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The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models

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1.	Title	Title of document	The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models
2.	Creator	Author's name, affiliation, country	Wei-Kuo Chen; University of Chicago; United States
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	The Parisi formula for the free energy in the spherical models with mixed even p-spin interactions was proven in Michel Talagrand. In this paper we study the general mixed p-spin spherical models including p-spin interactions for odd p. We establish the Aizenman Sims-Starr scheme and from this together with many well-known results and Dmitry Panchenko's recent proof on the Parisi ultrametricity conjecture, we prove the Parisi formula.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2013-10-29
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/2580
10.	Identifier	Digital Object Identifier	10.1214/EJP.v18-2580
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 18
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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