Probabilistic Diophantine approximation and the distribution of Halton-Kronecker sequences

DOI10.1016/j.jco.2013.05.002zbMath1309.11060OpenAlexW2021018302MaRDI QIDQ2252046

Gerhard Larcher

Publication date: 16 July 2014

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2013.05.002

zbMATH Keywords

uniform distributionmetric Diophantine approximationlow discrepancyHalton-Kronecker sequences

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Well-distributed sequences and other variations (11K36) General theory of distribution modulo (1) (11K06) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items

On a bounded remainder set for a digital Kronecker sequence ⋮ On the Discrepancy of Halton–Kronecker Sequences ⋮ A metric result for special sequences related to the Halton sequences ⋮ On evil Kronecker sequences and lacunary trigonometric products ⋮ Kronecker-Halton sequences in \(\mathbb{F}_p((X^{-1}))\) ⋮ METRIC RESULTS ON THE DISCREPANCY OF SEQUENCES MODULO ONE FOR INTEGER SEQUENCES OF POLYNOMIAL GROWTH

Cites Work

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• The Supremum Norm of the Discrepancy Function: Recent Results and Connections
• On the discrepancy of some hybrid sequences
• Generalized (t, s)-Sequences, Kronecker-Type Sequences, and Diophantine Approximations of Formal Laurent Series
• On existence and discrepancy of certain digital Niederreiter–Halton sequences
• Metrical Theorems on Fractional Parts of Sequences
• Further discrepancy bounds and an Erdös-Turán-Koksma inequality for hybrid sequences

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