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Expected Energy of Zeros of Elliptic Polynomials

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In 2011, Armentano, Beltrán and Shub obtained a closed expression for the expected logarithmic energy of the random point process on the sphere given by the roots of random elliptic polynomials. We consider a different approach which allows us to extend the study to the Riesz energies and to compute the expected separation distance.

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Constructive Approximation, 2024, vol. 61, p. 445-479

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cc by (c) Víctor de la Torre Estévez, 2024

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Expected Energy of Zeros of Elliptic Polynomials