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Recursions and tightness for the maximum of the discrete, two dimensional Gaussian Free Field


 
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1. Title Title of document Recursions and tightness for the maximum of the discrete, two dimensional Gaussian Free Field
 
2. Creator Author's name, affiliation, country Erwin Bolthausen; Universität Zürich
 
2. Creator Author's name, affiliation, country Jean-Dominique Deuschel; Technische Universität Berlin
 
2. Creator Author's name, affiliation, country Ofer Zeitouni; University of Minnesota
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Gaussian free field. Recursions.
 
3. Subject Subject classification 60G15, 60G60
 
4. Description Abstract We consider the maximum of the discrete two dimensional Gaussian free field in a box, and prove the existence of a (dense) deterministic subsequence along which the maximum, centered at its mean, is tight. The method of proof relies on an argument developed by Dekking and Host for branching random walks with bounded increments and on comparison results specific to Gaussian fields.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) SNSF, DFG, NSF, ISF
 
7. Date (YYYY-MM-DD) 2011-02-16
 
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/1610
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1610
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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