Remarks on a Constrained Optimization Problem for

Authors: Scott N Armstrong Sylvia Serfaty Ofer Zeitouni

Publish Date: 2014/05/14

Volume: 41, Issue: 3, Pages: 945-958

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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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