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The Martingale approach to disorder irrelevance for pinning models


 
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1. Title Title of document The Martingale approach to disorder irrelevance for pinning models
 
2. Creator Author's name, affiliation, country Hubert Lacoin; Università di Roma Tre
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Pinning/Wetting Models, Disordered Models, Harris Criterion, Relevant Disorder, Renewal Theory
 
3. Subject Subject classification 82B44, 60K37, 60K05
 
4. Description Abstract This paper presents a very simple and self-contained proof of disorder irrelevance for inhomogeneous pinning models with return exponent $\alpha \in (0,1/2)$. We also give a new upper bound for the contact fraction of the disordered model at criticality.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ERC grant PTRELSS
 
7. Date (YYYY-MM-DD) 2010-09-30
 
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/1572
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1572
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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