Normal Numbers and Cantor Expansions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F14%3AA15018W5" target="_blank" >RIV/61988987:17310/14:A15018W5 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Normal Numbers and Cantor Expansions

Original language description

A real number is called normal if every block of digits in its expansion occurs with the same frequency. A famous result of Borel is that almost every number is normal. We extend the definition of normal numbers to the case of Cantor series. The main result of this paper is that under some condition almost every number is normal in the new sense.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GAP201%2F12%2F2351" target="_blank" >GAP201/12/2351: Distribution and metric properties of number sequences and their applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Uniform Distribution Theory

ISSN

1336-913X

e-ISSN

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Volume of the periodical

9

Issue of the periodical within the volume

2

Country of publishing house

AT - AUSTRIA

Number of pages

9

Pages from-to

93-101

UT code for WoS article

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EID of the result in the Scopus database

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