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arXiv · 2211.07599

Expected energy of zeros of elliptic polynomials

Victor de la Torre·Jordi Marzo
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Abstract

In 2011, Armentano, Beltr\'an and Shub obtained in \cite{ABS11} 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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Victor de la Torre, Jordi Marzo. 2022-11-14. Expected energy of zeros of elliptic polynomials. https://arxiv.org/abs/2211.07599

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