## Electronic Communications in Probability

### Ergodicity of the Airy line ensemble

#### 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.

#### Article information

Source
Electron. Commun. Probab., Volume 19 (2014), paper no. 49, 11 pp.

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

https://projecteuclid.org/euclid.ecp/1465316751

Digital Object Identifier
doi:10.1214/ECP.v19-3504

Mathematical Reviews number (MathSciNet)
MR3246968

Zentralblatt MATH identifier
1303.82020

Subjects
Secondary: 82B23: Exactly solvable models; Bethe ansatz

Rights

#### Citation

Corwin, Ivan; Sun, Xin. Ergodicity of the Airy line ensemble. Electron. Commun. Probab. 19 (2014), paper no. 49, 11 pp. doi:10.1214/ECP.v19-3504. https://projecteuclid.org/euclid.ecp/1465316751

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