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On the replica symmetric solution of the K-sat model


 
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1. Title Title of document On the replica symmetric solution of the K-sat model
 
2. Creator Author's name, affiliation, country Dmitry Panchenko; Texas A&M University; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) spin glasses, random K-sat model, replica symmetric solution
 
3. Subject Subject classification 60K35, 82B44
 
4. Description Abstract In this paper we translate Talagrand’s solution of the K-sat model at high temperature into the language of asymptotic Gibbs measures. Using exact cavity equations in the infinite volume limit allows us to remove many technicalities of the inductions on the system size, which clarifies the main ideas of the proof. This approach also yields a larger region of parameters where the system is in a pure state and, in particular, for small connectivity parameter one can prove the replica symmetric formula for the free energy at any temperature.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSF
 
7. Date (YYYY-MM-DD) 2014-08-11
 
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/2963
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-2963
 
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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