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math-ph2026
Asymptotics of Hankel determinants for potentials with singular edge points
Dan Dai, Jia-Hao Du, Chenhao Lu
We establish the large- asymptotics of Hankel determinants for unitary random matrix ensembles possessing a higher-order edge singularity. We focus on ensembles where the equili…
math-ph2026
On The Eigenvalue Rigidity of the Laguerre Unitary Ensemble
Chenhao Lu, Xiaolu Yue
In this paper, we establish an optimal global rigidity estimate for the eigenvalues of the Laguerre unitary ensemble. Using the central limit theorem, we first construct a random m…