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

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math-ph2026

On The Eigenvalue Rigidity of the Laguerre Unitary Ensemble

Chenhao Lu, Xiaolu Yue

The paper proves an optimal global rigidity estimate for eigenvalues in the Laguerre unitary ensemble by showing convergence of a related random measure to a Gaussian multiplicativ…