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Tightness of the recentered maximum of log-correlated Gaussian fields


 
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1. Title Title of document Tightness of the recentered maximum of log-correlated Gaussian fields
 
2. Creator Author's name, affiliation, country Javier Acosta; University of Minnesota; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Log-correlation; Gaussian fields; Tightness.
 
3. Subject Subject classification 60G15; 60G60.
 
4. Description Abstract We consider a family of centered Gaussian fields on the  d-dimensional unit box, whose covariance decreases logarithmically in the distance between points. We prove tightness of the recentered maximum of the Gaussian fields and provide exponentially decaying bounds on the right and left tails. We then apply this result to a version of the two-dimensional continuous Gaussian free field.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-10-03
 
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/3170
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3170
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
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