Expected energy of zeros of elliptic polynomials
Classical Analysis and ODEs
2022-11-15 v1 Probability
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.
Keywords
Cite
@article{arxiv.2211.07599,
title = {Expected energy of zeros of elliptic polynomials},
author = {Victor de la Torre and Jordi Marzo},
journal= {arXiv preprint arXiv:2211.07599},
year = {2022}
}