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20052026
most citedFluctuations of eigenvalues of random normal matrices

153 citations · 388 across the 27 of their papers we have counts for

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math.PR2008★ 153 cited

Fluctuations of eigenvalues of random normal matrices

Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov

In this note, we prove Gaussian field convergence of fluctuations of eigenvalues of random normal matrices in the interior of a quantum droplet.

math.CV2008

Berezin transform in polynomial Bergman spaces

Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov

We study the reproducing kernel for weighted polynomial Bergman spaces and consider applications to the Berezin transform. Some of our results have applications in random matrix th…