Large deviation principle for the Airy point process

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...

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Veröffentlicht in:arXiv.org 2024-04
1. Verfasser: Zhong, Chenyang
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422