11 citations · 20 across the 4 of their papers we have counts for
4 papers
The Spherical Cap Discrepancy of HEALPix Points
Damir Ferizović, Julian Hofstadler, Michelle Mastrianni
In this paper we show that the spherical cap discrepancy of the point set given by centers of pixels in the HEALPix tessellation (short for Hierarchical, Equal Area and iso-Latitud…
Spherical cap discrepancy of perturbed lattices under the Lambert projection
Damir Ferizović
Given any full rank lattice and a natural number N , we regard the point set given by the scaled lattice intersected with the unit square under the Lambert map to the unit sphere,…
Potential theory with multivariate kernels
Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin +3
In the present paper we develop the theory of minimization for energies with multivariate kernels, i.e. energies, in which pairwise interactions are replaced by interactions betwee…
Approximation to uniform distribution in SO(3)
Carlos Beltrán, Damir Ferizović
Using the theory of determinantal point processes we give upper bounds for the Green and Riesz energies for the rotation group SO(3), with Riesz parameter up to 3. The Green functi…