Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials

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URI: http://hdl.handle.net/10902/3365
ISSN: 0002-9947
ISSN: 1088-6850
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Autoría
Armentano, Diego; Beltrán Álvarez, CarlosAutoridad Unican; Shub, Michael
Fecha
2011-06
Derechos
© American Mathematical Society, First published in Transactions of the American Mathematical Society in vol. 363, num. 6, published by the American Mathematical Society
Publicado en
Transactions of the American Mathematical Society, vol. 363, num, 6, p. 2955-2965 (2011)
Editorial
American Mathematical Society
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Palabras clave
Logarithmic energy
Elliptic Fekete points
Random polynomials
Resumen/Abstract
We prove that points in the sphere associated with roots of random polynomials via the stereographic projection are surprisingly well-suited with respect to the minimal logarithmic energy on the sphere. That is, roots of random polynomials provide a fairly good approximation to elliptic Fekete points.
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