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Ergodicity of the Airy line ensemble

   
@article{ECP3504,
	author = {Ivan Corwin and Xin Sun},
	title = {Ergodicity of the Airy line ensemble},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {the Airy line ensemble, ergodicity, Gibbs measure, extremal},
	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.
},
	pages = {no. 49, 1-11},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3504},    
        url = {http://ecp.ejpecp.org/article/view/3504}}