Measure density for set decompositions and uniform distribution View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-08

AUTHORS

Maria Rita Iacò, Milan Paštéka, Robert F. Tichy

ABSTRACT

The aim of this paper is to extend the concept of measure density introduced by Buck for finite unions of arithmetic progressions, to arbitrary subsets of N defined by a given system of decompositions. This leads to a variety of new examples and to applications to uniform distribution theory.

PAGES

323-339

References to SciGraph publications

  • 1987-05. A criterion for the uniform distribution of sequences in compact metric spaces in RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO SERIES 2
  • 2011-01. A generalization of Kakutani’s splitting procedure in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 1999-06. Finitely additive measures on groups and rings in RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO SERIES 2
  • 1916-09. Über die Gleichverteilung von Zahlen mod. Eins in MATHEMATISCHE ANNALEN
  • 2014-10. On the uniform distribution modulo 1 of multidimensional LS-sequences in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2009-03. Note on the Permutations which Preserve Buck’s Measure Density in MEDITERRANEAN JOURNAL OF MATHEMATICS
  • 1950. Measure Theory in NONE
  • 2012-12. Discrepancy of LS-sequences of partitions and points in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s12215-015-0202-1

    DOI

    http://dx.doi.org/10.1007/s12215-015-0202-1

    DIMENSIONS

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