Density of natural numbers and the Lévy group

Nobuaki Obata

doi:10.1016/0022-314X(88)90003-0

Density of natural numbers and the Lévy group

Nobuaki Obata

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	288-297
Number of pages	10
Journal	Journal of Number Theory
Volume	30
Issue number	3
DOIs	https://doi.org/10.1016/0022-314X(88)90003-0
Publication status	Published - 1988 Nov

ASJC Scopus subject areas

Algebra and Number Theory

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