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.CA2023
Uniform distribution via lattices: from point sets to sequences
Damir Ferizović
In this work we construct many sequences , or in the --dimensional unit hypercube, which for are (generalized) van der Corput sequence…
math.CA2023
Optimal Measures for Multivariate Geometric Potentials
Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin +3
We study measures and point configurations optimizing energies based on multivariate potentials. The emphasis is put on potentials defined by geometric characteristics of sets of p…