Ivan Corwin, Xin Sun
Published 2014-05-02, updated 2014-07-31Version 2
In this paper, we establish the ergodicity of the Airy line ensemble. This shows that it is the only candidate for Conjecture 3.2 in [3], regarding the classification of ergodic line ensembles satisfying a certain Brownian Gibbs property after a parabolic shift.
Comments: argument for Proposition 1.13 is revised, the structure of the introduction is rearranged
Journal: Electron. Commun. Probab. 19(2014), no. 49, 1-11
Basic properties of the Airy line ensemble
Uniform convergence to the Airy line ensemble
Brownian Gibbs property for Airy line ensembles
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