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asymptotic analysis 1eigenvalue rigidity 1Gaussian multiplicative chaos 1Laguerre ensemble 1random matrix theory 1

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math.PR2025

On The Eigenvalue Rigidity of the Jacobi Unitary Ensemble

Dan Dai, Chenhao Lu

In this paper, we prove an optimal global rigidity estimate for the eigenvalues of the Jacobi unitary ensemble. Our approach begins by constructing a random measure defined through…