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arXiv · 1304.1964

Remarks on a constrained optimization problem for the Ginibre ensemble

Scott N. Armstrong·Sylvia Serfaty·Ofer Zeitouni
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Abstract

We study the limiting distribution of the eigenvalues of the Ginibre ensemble conditioned on the event that a certain proportion lie in a given region of the complex plane. Using an equivalent formulation as an obstacle problem, we describe the optimal distribution and some of its monotonicity properties.

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Scott N. Armstrong, Sylvia Serfaty, Ofer Zeitouni. 2013-04-07. Remarks on a constrained optimization problem for the Ginibre ensemble. https://arxiv.org/abs/1304.1964

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