Large deviation principle for the Airy point process

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1. Verfasser: Zhong, Chenyang
Format: Preprint
Veröffentlicht: 2024
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author Zhong, Chenyang
author_facet Zhong, Chenyang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_06006
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Large deviation principle for the Airy point process
Zhong, Chenyang
Probability
Mathematical Physics
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.
title Large deviation principle for the Airy point process
topic Probability
Mathematical Physics
url https://arxiv.org/abs/2404.06006