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Remarks on a Constrained Optimization Problem for the Ginibre Ensemble.

Authors :
Armstrong, Scott
Serfaty, Sylvia
Zeitouni, Ofer
Source :
Potential Analysis; Oct2014, Vol. 41 Issue 3, p945-958, 14p
Publication Year :
2014

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09262601
Volume :
41
Issue :
3
Database :
Complementary Index
Journal :
Potential Analysis
Publication Type :
Academic Journal
Accession number :
98604657
Full Text :
https://doi.org/10.1007/s11118-014-9402-0