\input zb-basic
\input zb-ioport
\iteman{io-port 05903201}
\itemau{Armentano, Diego; Beltr\'an, Carlos; Shub, Michael}
\itemti{Minimizing the discrete logarithmic energy on the sphere: the role of random polynomials.}
\itemso{Trans. Am. Math. Soc. 363, No. 6, 2955-2965 (2011).}
\itemab
Let $$V_N = \min \bigg\{ - \sum_{1 < i < j < N}\log \| x_i - x_j \| : x_i \in\mathbb{R}^3, \|x_i\| =1\bigg \}.$$ The authors give an approximate value for $V_N$ using zeros of special random polynomials.
\itemrv{Anatoly Filip Grishin (Khar'kov)}
\itemcc{}
\itemut{logarithmic energy; elliptic Fekete points; random polynomials}
\itemli{doi:10.1090/S0002-9947-2011-05243-8}
\end