Distribution of lattice points

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dc.citation.epage193en_US
dc.citation.issueNumber2en_US
dc.citation.spage173en_US
dc.citation.volumeNumber78en_US
dc.contributor.authorSezgin, F.en_US
dc.date.accessioned2016-02-08T10:17:55Z
dc.date.available2016-02-08T10:17:55Z
dc.date.issued2006en_US
dc.description.abstractWe discuss the lattice structure of congruential random number generators and examine figures of merit. Distribution properties of lattice measures in various dimensions are demonstrated by using large numerical data. Systematic search methods are introduced to diagnose multiplier areas exhibiting good, bad and worst lattice structures. We present two formulae to express multipliers producing worst and bad laice points. The conventional criterion of normalised lattice rule is also questioned and it is shown that this measure used with a fixed threshold is not suitable for an effective discrimination of lattice structures. Usage of percentiles represents different dimensions in a fair fashion and provides consistency for different figures of merits.en_US
dc.identifier.doi10.1007/s00607-006-0173-3en_US
dc.identifier.issn0010-485X
dc.identifier.urihttp://hdl.handle.net/11693/23704
dc.language.isoEnglishen_US
dc.publisherSpringer Wienen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00607-006-0173-3en_US
dc.source.titleComputingen_US
dc.subjectBad lattice pointsen_US
dc.subjectGood lattice pointsen_US
dc.subjectLattice rulesen_US
dc.subjectLinear congruential generatorsen_US
dc.subjectRandom numberen_US
dc.subjectSpectral testen_US
dc.titleDistribution of lattice pointsen_US
dc.typeArticleen_US

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