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Ergodicity of the Airy line ensemble

Published 2 May 2014 in math.PR, math-ph, and math.MP | (1405.0464v2)

Abstract: In this paper, we establish the ergodicity of the Airy line ensemble. This shows that it is the only candidate for Conjecture 3.2 in [3], regarding the classification of ergodic line ensembles satisfying a certain Brownian Gibbs property after a parabolic shift.

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Authors (2)

  1. Ivan Corwin 
  2. Xin Sun 

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