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Coarse graining, fractional moments and the critical slope of random copolymers


 
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1. Title Title of document Coarse graining, fractional moments and the critical slope of random copolymers
 
2. Creator Author's name, affiliation, country Fabio Lucio Toninelli; CNRS and ENS Lyon
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Copolymers at Selective Interfaces; Fractional Moment Estimates; Coarse-graining
 
3. Subject Subject classification 60K35; 82B44; 60K37
 
4. Description Abstract For a much-studied model of random copolymer at a selective interface we prove that the slope of the critical curve in the weak-disorder limit is strictly smaller than 1, which is the value given by the annealed inequality. The proof is based on a coarse-graining procedure, combined with upper bounds on the fractional moments of the partition function.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ANR, grant POLINTBIO and grant LHMSHE
 
7. Date (YYYY-MM-DD) 2009-02-23
 
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/612
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-612
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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