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Sharp asymptotic behavior for wetting models in (1+1)-dimension


 
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1. Title Title of document Sharp asymptotic behavior for wetting models in (1+1)-dimension
 
2. Creator Author's name, affiliation, country Francesco Caravenna; Universitaet Zuerich, Switzerland
 
2. Creator Author's name, affiliation, country Giambattista Giacomin; Universite' Paris 7, France
 
2. Creator Author's name, affiliation, country Lorenzo Zambotti; Politecnico di Milano, Italy
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Wetting Transition; Critical Wetting; delta-Pinning Model; Renewal Theory; Fluctuation Theory for Random Walks
 
3. Subject Subject classification 60K35; 60F10; 82B41
 
4. Description Abstract We consider continuous and discrete (1+1)-dimensional wetting models which undergo a localization/delocalization phase transition. Using a simple approach based on Renewal Theory we determine the precise asymptotic behavior of the partition function, from which we obtain the scaling limits of the models and an explicit construction of the infinite volume measure in all regimes, including the critical one.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2006-05-08
 
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/320
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-320
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
12. Language English=en
 
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