Ergodicity of the Airy line ensemble
Name
Corwin-2014-Ergodicity.pdf
Size
282.82 KB
Format
Adobe PDF
Checksum (MD5)
024f1dc6bb4a6c8933b3e0a50d82d794
Author(s)
Corwin, Ivan
Sun, Xin
Date Issued
July 2014
Journal
Electronic Communications in Probability
Publisher
Institute of Mathematical Statistics
Citation
Corwin, Ivan, and Xin Sun. “Ergodicity of the Airy Line Ensemble.” Electronic Communications in Probability 19, no. 0 (January 9, 2014).
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1214/ECP.v19-3504
