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The Gaussian free field in interlacing particle systems


 
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1. Title Title of document The Gaussian free field in interlacing particle systems
 
2. Creator Author's name, affiliation, country Jeffrey Kuan; Harvard University; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Gaussian free field, determinantal point process, interlacing particles
 
3. Subject Subject classification Probability Theory
 
4. Description Abstract We show that if an interlacing particle system in a two-dimensional lattice is a determinantal point process, and the correlation kernel can be expressed as a double integral with certain technical assumptions, then the moments of the fluctuations of the height function converge to that of the Gaussian free field. In particular, this shows that a previously studied random surface growth model with a reflecting wall has Gaussian free field fluctuations.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-08-15
 
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/3732
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3732
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
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