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On computing the exact value of dispersion of a sequence

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Publication:1200177
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DOI10.1016/0377-0427(92)90083-AzbMath0763.65001MaRDI QIDQ1200177

Ricardo A. Mitchell, Paul B. Peart

Publication date: 17 January 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

extreme pointsdispersionextreme valuequasi Monte Carlo methodHammersley sequenceirregularity of distribution of sequences


Mathematics Subject Classification ID

Monte Carlo methods (65C05)




Cites Work

  • Low-discrepancy and low-dispersion sequences
  • The dispersion of the Hammersley sequence in the unit square
  • Mean-square discrepancies of the Hammersley and Zaremba sequences for arbitrary radix
  • Optimization of functions by quasi-random search methods
  • Finding all vertices of a convex polyhedron
  • The extreme and \(L^2\) discrepancies of some plane sets
  • An Algorithm for Finding All Vertices of Convex Polyhedral Sets
  • MONTE CARLO METHODS FOR SOLVING MULTIVARIABLE PROBLEMS
  • Quasi-Monte Carlo methods and pseudo-random numbers
  • Localization of Search in Quasi-Monte Carlo Methods for Global Optimization
  • On irregularities of distribution
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