Dynamically defined sequences with small discrepancy

DOI10.1007/s00605-019-01360-zzbMath1471.11222arXiv1902.03269OpenAlexW2997090937WikidataQ126418683 ScholiaQ126418683MaRDI QIDQ2297588

Stefan Steinerberger

Publication date: 20 February 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03269

zbMATH Keywords

energy functionalpotential theorydiscrepancyuniform distributionlow discrepancy sequence

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Fourier series and coefficients in several variables (42B05) Trigonometric and exponential sums (general theory) (11L03) Irregularities of distribution, discrepancy (11K38)

Related Items (8)

Sequences of well-distributed vertices on graphs and spectral bounds on optimal transport ⋮ Greedy energy minimization can count in binary: point charges and the van der Corput sequence ⋮ Sums of distances on graphs and embeddings into Euclidean space ⋮ POLYNOMIALS WITH ZEROS ON THE UNIT CIRCLE: REGULARITY OF LEJA SEQUENCES ⋮ On combinatorial properties of greedy Wasserstein minimization ⋮ On the Wasserstein distance between classical sequences and the Lebesgue measure ⋮ Positive-definite functions, exponential sums and the greedy algorithm: a curious phenomenon ⋮ Uniformly distributed sequences generated by a greedy minimization of the \(L_2\) discrepancy

Cites Work

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• Greedy energy minimization can count in binary: point charges and the van der Corput sequence
• An Improved Bound for the Star Discrepancy of Sequences in the Unit Interval
• Minoration de la discrépance d'une suite quelconque sur T
• Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections
• Irregularities of distribution, VII
• On irregularities of distribution
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