Ergodicity of the Airy line ensemble

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...

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Bibliographic Details
Main Authors: Corwin, Ivan, Sun, Xin
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Institute of Mathematical Statistics 2014
Online Access:http://hdl.handle.net/1721.1/91261
https://orcid.org/0000-0002-8579-1686