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Asymptotics of Hankel determinants for potentials with singular edge points

Dai, Dan et al.
arXiv (All) · Papers
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mathematical-physics
We establish the large-$n$ asymptotics of Hankel determinants for unitary random matrix ensembles possessing a higher-order edge singularity. We focus on ensembles where the equilibrium measure is supported on a single interval and the limiting eigenvalue density vanishes to order $2k+\frac{1}{2}$ f
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