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Article Dans Une Revue Potential Analysis Année : 2014

Remarks on a constrained optimization problem for the Ginibre ensemble

Résumé

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.

Dates et versions

hal-00838186 , version 1 (25-06-2013)

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Scott N. Armstrong, Sylvia Serfaty, Ofer Zeitouni. Remarks on a constrained optimization problem for the Ginibre ensemble. Potential Analysis, 2014, 41, pp.945-958. ⟨10.1007/s11118-014-9402-0⟩. ⟨hal-00838186⟩
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