2 papers
math.MG2025
Minimizing point configurations for tensor product energies on the torus
Dmitriy Bilyk, Nicolas Nagel, Ian Ruohoniemi
We study point configurations on the torus that minimize interaction energies with tensor product structure which arise naturally in the context of discrepancy theory…
math.NA2025
On the Global Optimality of Fibonacci Lattices in the Torus
Nicolas Nagel
We use linear programming bounds to analyze point sets in the torus with respect to their optimality for problems in discrepancy theory and quasi-Monte Carlo methods. These concept…