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2014 Ergodicity of the Airy line ensemble
Ivan Corwin, Xin Sun
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Electron. Commun. Probab. 19: 1-11 (2014). DOI: 10.1214/ECP.v19-3504

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.

Citation

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Ivan Corwin. Xin Sun. "Ergodicity of the Airy line ensemble." Electron. Commun. Probab. 19 1 - 11, 2014. https://doi.org/10.1214/ECP.v19-3504

Information

Accepted: 26 July 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1303.82020
MathSciNet: MR3246968
Digital Object Identifier: 10.1214/ECP.v19-3504

Subjects:
Primary: 82C22
Secondary: 82B23

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