@article{bc30eeaa9f9c48b19971489fe0015a49,
title = "Remarks on a Constrained Optimization Problem for the Ginibre Ensemble",
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.",
keywords = "Ginibre ensemble, Large deviations, Obstacle problem",
author = "Armstrong, {Scott N.} and Sylvia Serfaty and Ofer Zeitouni",
note = "Funding Information: Acknowledgments We thank Gilles Wainrib and Amir Dembo for bringing this problem to our attention, and Satya Majumdar for enlighting discussions and a reference to [15]. SS was supported by a EURYI award. OZ was partially supported by NSF grant DMS-1203201, the Israel Science Foundation and the Herman P. Taubman chair of Mathematics at the Weizmann Institute. Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media Dordrecht.",
year = "2014",
month = sep,
day = "26",
doi = "10.1007/s11118-014-9402-0",
language = "English (US)",
volume = "41",
pages = "945--958",
journal = "Potential Analysis",
issn = "0926-2601",
publisher = "Springer Netherlands",
number = "3",
}