3 citations · 3 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Optimizers of three-point energies and nearly orthogonal sets
Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin +3
This paper is devoted to spherical measures and point configurations optimizing three-point energies. Our main goal is to extend the classic optimization problems based on pairs of…
Measure-preserving mappings from the unit cube to some symmetric spaces
Carlos Beltrán, Damir Ferizović, Pedro R. López-Gómez
We construct measure-preserving mappings from the -dimensional unit cube to the -dimensional unit ball and the compact rank one symmetric spaces, namely the -dimensional s…