Low discrepancy polynomial lattice point sets

DOI10.1016/j.jnt.2012.05.006zbMath1256.11042OpenAlexW2043964372MaRDI QIDQ452386

Friedrich Pillichshammer, Peter Kritzer

Publication date: 21 September 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.05.006

zbMATH Keywords

star discrepancypolynomial lattice point sets

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (5)

Metrical lower bounds on the discrepancy of digital Kronecker-sequences ⋮ On Hybrid Point Sets Stemming from Halton-Type Hammersley Point Sets and Polynomial Lattice Point Sets ⋮ Constructing good higher order polynomial lattice rules with modulus of reduced degree ⋮ Discrepancy Theory and Quasi-Monte Carlo Integration ⋮ Proof techniques in quasi-Monte Carlo theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A lower bound on a quantity related to the quality of polynomial lattices
• On the small ball inequality in all dimensions
• Rational functions with partial quotients of small degree in their continued fraction expansion
• Minoration de la discrépance d'une suite quelconque sur T
• Low-discrepancy point sets obtained by digital constructions over finite fields
• Nets obtained from rational functions over finite fields
• Irregularities of distribution, VII
• On irregularities of distribution

This page was built for publication: Low discrepancy polynomial lattice point sets