2 papers
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.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…