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20152023
most citedDiscontinuity in the asymptotic behavior of planar orthogonal polynomials under a perturbation of the Gaussian weight

21 citations · 58 across the 8 of their papers we have counts for

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math-ph2020★ 5 cited

Asymptotics for averages over classical orthogonal ensembles

Tom Claeys, Gabriel Glesner, Alexander Minakov +1

We study averages of multiplicative eigenvalue statistics in ensembles of orthogonal Haar distributed matrices, which can alternatively be written as Toeplitz+Hankel determinants.…

math-ph2020★ 14 cited

Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges

Seung-Yeop Lee, Meng Yang

We consider the planar orthogonal polynomial with respect to the measure supported on the whole complex plane $${\rm e}^{-N|z|^2} \prod_{j=1}^ν|z-a_j|^{2c_j}\,{\rm d} A(…