On uniform distribution of double sequences

Peter Kirschenhofer; Robert F. Tichy

doi:10.1007/BF01168456

On uniform distribution of double sequences

Peter Kirschenhofer^*, Robert F. Tichy

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

In this paper a new notion of uniform distribution of double sequences is introduced. In the most elementary case a double sequence (x_mn)_{m, n∈N} is called uniformly distributed in this sense if all finite matrices of equal size appear with the same frequency as submatrices of the infinite matrix (x_mn). Some special double sequences with such a distribution property are studied and metric theorems are proved.

Originalsprache	englisch
Seiten (von - bis)	195-207
Seitenumfang	13
Fachzeitschrift	Manuscripta mathematica
Jahrgang	35
Ausgabenummer	1-2
DOIs	https://doi.org/10.1007/BF01168456
Publikationsstatus	Veröffentlicht - 1 Feb. 1981
Extern publiziert	Ja

ASJC Scopus subject areas

Allgemeine Mathematik

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10.1007/BF01168456

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title = "On uniform distribution of double sequences",

abstract = "In this paper a new notion of uniform distribution of double sequences is introduced. In the most elementary case a double sequence (xmn)m, n∈N is called uniformly distributed in this sense if all finite matrices of equal size appear with the same frequency as submatrices of the infinite matrix (xmn). Some special double sequences with such a distribution property are studied and metric theorems are proved.",

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AB - In this paper a new notion of uniform distribution of double sequences is introduced. In the most elementary case a double sequence (xmn)m, n∈N is called uniformly distributed in this sense if all finite matrices of equal size appear with the same frequency as submatrices of the infinite matrix (xmn). Some special double sequences with such a distribution property are studied and metric theorems are proved.

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AN - SCOPUS:31144467464

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On uniform distribution of double sequences

Abstract

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