Ergodicity of the Airy line ensemble
Author(s)Corwin, Ivan; Sun, Xin
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Electronic Communications in Probability
Institute of Mathematical Statistics
Corwin, Ivan, and Xin Sun. “Ergodicity of the Airy Line Ensemble.” Electronic Communications in Probability 19, no. 0 (January 9, 2014).
Final published version