3 papers
math.CA2022
Lower bound for the Green energy of point configurations in harmonic manifolds
Carlos Beltrán, Víctor de la Torre, Fátima Lizarte
In this paper, we get the sharpest known to date lower bounds for the minimal Green energy of the compact harmonic manifolds of any dimension.
math.CA2022
A lower bound for the logarithmic energy on and for the Green energy on
Carlos Beltrán, Fátima Lizarte
We show an alternative proof of the sharpest known lower bound for the logarithmic energy on the unit sphere . We then generalize this proof to get new lower bounds f…
math.CV2020
On the minimum value of the condition number of polynomials
Carlos Beltrán, Fátima Lizarte
In 1993, Shub and Smale posed the problem of finding a sequence of univariate polynomials of degree with condition number bounded above by . In a previous paper by C. Beltán…