3 papers
math.CA2025
Points on with low logarithmic energy
Carlos Beltrán, Federico Carrasco, Damir Ferizović +1
We describe several randomized collections of rotation matrices and analyze their associated logarithmic energy. The best one (i.e. the one attaining the lowest expecte…
math.AC2025
Characterization of Logarithmic Fekete Critical Configurations of at Most Six Points in All Dimensions
Diego Armentano, Leandro Bentancur, Federico Carrasco +3
We consider the logarithmic Fekete problem, which consists of placing a fixed number of points on the unit sphere in , in such a way that the product of all pairs of…
math.PR2024
On the logarithmic energy of solutions to the polynomial eigenvalue problem
Diego Armentano, Federico Carrasco, Marcelo Fiori
In this paper, we compute the expected logarithmic energy of solutions to the polynomial eigenvalue problem for random matrices. We generalize some known results for the Shub-Smale…