Nicolas Nagel

collaborators

4 papers

math.NA2026

Infinite sequences with optimal diaphony, periodic $L_{2}$ -discrepancy, and beyond

Peter Kritzer, Nicolas Nagel, Friedrich Pillichshammer

We investigate the periodic $L_{2}$ -discrepancy of infinite sequences $A^§_{d}$ in $[0, 1)^{d}$ and its analytic counterpart, the diaphony. We prove that infinite order-2 digital sequences…

math.NT2026

Precise Asymptotics and Exact Formulas for Tensor Product Energies of Fibonacci Lattices

Melia Haase, Nicolas Nagel

We consider the asymptotics of sums of the form $$ \frac1{F_n^Ï} \sum_{m = 1}^{F_n-1} \frac{f(m/F_n)}{\left|{\sin(Ïm/F_n)}\right|^Ï} \frac{f(F_{n-1}m/F_n)}{\left|{\sin(ÏF_{n-1}…

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 $T^{d}$ 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…

Infinite sequences with optimal diaphony, periodic L2​-discrepancy, and beyond

Precise Asymptotics and Exact Formulas for Tensor Product Energies of Fibonacci Lattices

Minimizing point configurations for tensor product energies on the torus

On the Global Optimality of Fibonacci Lattices in the Torus

Infinite sequences with optimal diaphony, periodic $L_{2}$ -discrepancy, and beyond