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Ergodicity of the Airy line ensemble


 
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1. Title Title of document Ergodicity of the Airy line ensemble
 
2. Creator Author's name, affiliation, country Ivan Corwin; Columbia University, Clay Mathematics Institute, Massachusetts Institute of Technology; United States
 
2. Creator Author's name, affiliation, country Xin Sun; Massachusetts Institute of Technology; China
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) the Airy line ensemble, ergodicity, Gibbs measure, extremal
 
3. Subject Subject classification 82C22; 82B23
 
4. Description Abstract

In this paper, we establish the ergodicity of the Airy line ensemble with respect to horizontal shifts. This shows that it is the only candidate for Conjecture 3.2 in Corwin & Hammond, Invent. Math. 2014, regarding the classification of ergodic line ensembles satisfying a certain Brownian Gibbs property after a parabolic shift.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) IC was partially supported by the NSF through DMS-1208998, by Microsoft Research through the Schramm Memorial Fellowship, and by the Clay Mathematics Institute through a Clay Research Fellowship.
 
7. Date (YYYY-MM-DD) 2014-07-26
 
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/3504
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3504
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
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