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math.CV2014★ 6 cited
Sharpness of connectivity bounds for quadrature domains
Seung-Yeop Lee, Nikolai Makarov
In this paper we prove the sharpness of connectivity bounds established in [15]. The proof depends on some facts in the theory of univalent polynomials. We also discuss application…
math.PR2014
Rescaling Ward identities in the random normal matrix model
Yacin Ameur, Nam-Gyu Kang, Nikolai Makarov
We study existence and universality of scaling limits for the eigenvalues of a random normal matrix, in particular at points on the boundary of the spectrum. Our approach uses Ward…