Expected energy of zeros of elliptic polynomials
- Resource Type
- Working Paper
- Authors
- de la Torre, Victor; Marzo, Jordi
- Source
- Subject
- Mathematics - Classical Analysis and ODEs
Mathematics - Probability
- Language
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.