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Large deviation principle for the Airy point process

Published 9 Apr 2024 in math.PR, math-ph, and math.MP | (2404.06006v1)

Abstract: The Airy point process is a determinantal point process that arises from the spectral edge of the Gaussian Unitary Ensemble. In this paper, we establish a large deviation principle for the Airy point process. Our result also extends to point processes arising from the spectrum of the stochastic Airy operator.

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