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Large deviation principle for the Airy point process

Probability 2024-04-10 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2404.06006,
  title  = {Large deviation principle for the Airy point process},
  author = {Chenyang Zhong},
  journal= {arXiv preprint arXiv:2404.06006},
  year   = {2024}
}

Comments

168 pages

R2 v1 2026-06-28T15:48:18.219Z