Electronic Communications in Probability

Ergodicity of the Airy line ensemble

Ivan Corwin and Xin Sun

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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.

Article information

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

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

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 82C22: Interacting particle systems [See also 60K35]
Secondary: 82B23: Exactly solvable models; Bethe ansatz

the Airy line ensemble ergodicity Gibbs measure extremal

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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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