Remarks on a constrained optimization problem for the Ginibre ensemble

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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Field	Value
Source	ISSN: 0926-2601
Author	Armstrong, Scott N., Serfaty, Sylvia, Zeitouni, Ofer
Maintainer	CCSD
Last Updated	May 10, 2026, 14:06 (UTC)
Created	May 10, 2026, 14:06 (UTC)
Identifier	hal-00838186
Language	en
contributor	CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) ; Université Paris Dauphine-PSL ; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
creator	Armstrong, Scott N.
date	2014-05-10T00:00:00
harvest_object_id	ec14cf51-1c1c-42ec-90dc-c952c18d2244
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2025-06-13T00:00:00
relation	info:eu-repo/semantics/altIdentifier/arxiv/1304.1964
set_spec	type:ART