Nicolas Nagel

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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.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

On the Global Optimality of Fibonacci Lattices in the Torus

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