Large deviation principle for the Airy point process

Chenyang Zhong

Large deviation principle for the Airy point process

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arxiv 2404.06006 v1 pith:XW3CL7I2 submitted 2024-04-09 math.PR math-phmath.MP

Chenyang Zhong This is my paper · ORCID

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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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Gaussian Waves and Edge Eigenvectors of Random Regular Graphs
math.PR 2025-02 conditional novelty 6.0 of 10

Edge eigenvectors of random d-regular graphs converge to Gaussian waves with variance 1, jointly with and asymptotically independent of the Airy_1 edge eigenvalue process.

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