Friedrich Pillichshammer

collaborators

3 papers

math.NA2026

Tractability versus curse of dimensionality for geometric $L_{p}$ -discrepancies

Erich Novak, Friedrich Pillichshammer

This paper studies tractability versus the curse of dimensionality for several geometric $L_{p}$ -discrepancies through a unified discrepancy--integration duality framework, where wor…

math.NA2026

Extreme $L_{p}$ discrepancy, numerical integration and the curse of dimensionality

Erich Novak, Friedrich Pillichshammer

The classical notion of extreme $L_{p}$ discrepancy is a quantitative measure for the irregularity of distribution of finite point sets in the $d$ -dimensinal unit cube. In this paper…

math.NA2025

Generalized Discrepancy of Random Points

Erich Novak, Friedrich Pillichshammer

We study the $L_{p}$ -discrepancy of random point sets in high dimensions, with emphasis on small values of $p$ . Although the classical $L_{p}$ -discrepancy suffers from the curse of dim…

Tractability versus curse of dimensionality for geometric Lp​-discrepancies

Extreme Lp​ discrepancy, numerical integration and the curse of dimensionality

Generalized Discrepancy of Random Points

Tractability versus curse of dimensionality for geometric $L_{p}$ -discrepancies

Extreme $L_{p}$ discrepancy, numerical integration and the curse of dimensionality