The dispersion of the Hammersley sequence in the unit square

DOI10.1007/BF01295787zbMath0484.10033OpenAlexW2095355111MaRDI QIDQ1163592

Paul B. Peart

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/178097

zbMATH Keywords

explicit formuladispersion of Hammersley sequencequasi-Monte Carlo optimization

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (7)

Sequential Monto Carlo techniques for the solution of linear systems ⋮ Low-discrepancy and low-dispersion sequences ⋮ On computing the exact value of dispersion of a sequence ⋮ A Sequence Well Dispersed in the Unit Square ⋮ Calculation of Discrepancy Measures and Applications ⋮ The dispersion of a special sequence ⋮ A method for exact calculation of the stardiscrepancy of plane sets applied to the sequences of Hammersley

Cites Work

• Mean-square discrepancies of the Hammersley and Zaremba sequences for arbitrary radix
• The extreme and \(L^2\) discrepancies of some plane sets
• MONTE CARLO METHODS FOR SOLVING MULTIVARIABLE PROBLEMS
• Quasi-Monte Carlo methods and pseudo-random numbers
• On irregularities of distribution
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