Ergodicity of the Airy line ensemble

Author(s)
Corwin, Ivan; Sun, Xin
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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.
Date issued
2014-07
URI
http://hdl.handle.net/1721.1/91261
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1083-589X
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