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Confinement of the Two Dimensional Discrete Gaussian Free Field Between Two Hard Walls


 
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1. Title Title of document Confinement of the Two Dimensional Discrete Gaussian Free Field Between Two Hard Walls
 
2. Creator Author's name, affiliation, country Hironobu Sakagawa; Keio University; Japan
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Gaussian field; hard wall; random interface; mass; random walk representation
 
3. Subject Subject classification 60K35; 82A41; 82B24
 
4. Description Abstract We consider the two dimensional discrete Gaussian free field confined between two hard walls. We show that the field becomes massive and identify the precise asymptotic behavior of the mass and the variance of the field as the height of the wall goes to infinity. By large fluctuation of the field, asymptotic behaviors of these quantities in the two dimensional case differ greatly from those of the higher dimensional case studied by [S07].
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-10-30
 
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/711
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-711
 
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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