Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates

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Bibtex

@article{ab4efc7cb8ba4bfea4f9973556b5489f,
title = "Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates",
abstract = "Let Q be a suitable real function on C. An n-Fekete set corresponding to Q is a subset {z(n vertical bar) , . . . , z(nn)} of C which maximizes the expression Pi(n)(i infinity. In this note we prove that Fekete sets are, in a sense, maximally spread out with respect to the equilibrium measure. In general, our results apply only to a part of the Fekete set, which is at a certain distance away from the boundary of the droplet. However, for the potential Q = vertical bar z vertical bar(2) we obtain results which hold globally, and we conjecture that such global results are true for a wide range of potentials. (C) 2012 Elsevier Inc. All rights reserved.",
keywords = "Weighted Fekete set, Droplet, Equidistribution, Concentration operator, Correlation kernel",
author = "Yacin Ameur and Joaquim Ortega-Cerda",
year = "2012",
doi = "10.1016/j.jfa.2012.06.01",
language = "English",
volume = "263",
pages = "1825--1861",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "7",

}