Density of natural numbers and the Lévy group

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15 Citations (Scopus)


The density of natural numbers, regarded as an analogue of a probability measure, enjoys an ergodic property under a certain permutation group called the Lévy group. Furthermore, the density is characterized by its invariance under the Lévy group. Finally, rearrangement of uniformly distributed sequences is discussed in connection with the Lévy group.

Original languageEnglish
Pages (from-to)288-297
Number of pages10
JournalJournal of Number Theory
Issue number3
Publication statusPublished - 1988 Nov


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