18 citations · 33 across the 10 of their papers we have counts for
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math.CA2019
A sharp Bombieri inequality, logarithmic energy and well conditioned polynomials
Ujué Etayo
In this paper we explore the connections between minimizers of the discrete logarithmic energy on the 2-dimensional sphere, univariate polynomials with optimal condition number in…
math.NA2019
Spherical cap discrepancy of the Diamond ensemble
Ujué Etayo
We compute the spherical cap discrepancy of the Diamond ensemble (a set of evenly distributed spherical points) as well as some other quantities. We also define an area regular par…
math.CV2019★ 8 cited
A sequence of polynomials with optimal condition number
Carlos Beltrán, Ujué Etayo, Jordi Marzo +1
We find an explicit sequence of univariate polynomials of arbitrary degree with optimal condition number. This solves a problem posed by Michael Shub and Stephen Smale in 1993.