Corwin, Ivan; Sun, Xin Ergodicity of the Airy line ensemble. (English) Zbl 1303.82020 Electron. Commun. Probab. 19, Paper No. 49, 11 p. (2014). Summary: 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 [I. Corwin and A. Hammond, Invent. Math. 195, No. 2, 441–508 (2014; )], regarding the classification of ergodic line ensembles satisfying a certain Brownian Gibbs property after a parabolic shift. Cited in 7 Documents MSC: 82C22 Interacting particle systems in time-dependent statistical mechanics 82B23 Exactly solvable models; Bethe ansatz 60J65 Brownian motion Keywords:Airy line ensemble; ergodicity; Gibbs measure; extremal PDF BibTeX XML Cite \textit{I. Corwin} and \textit{X. Sun}, Electron. Commun. Probab. 19, Paper No. 49, 11 p. (2014; Zbl 1303.82020) Full Text: DOI arXiv OpenURL