A group of continuous transformations of a region $[0; 1]$ that preserve the frequency of the digits in $Q_s$-representation of a number

In the paper, we propose to solve the problem of construction a set of a continuous transformation of the segment $[0;1]$, which keeps the figure frequency of a $????_????$ real number representation for any natural $???? >1$. The group properties of that set are studied in the article. S...

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Datum:2017
Hauptverfasser: Osaulenko, R. Yu., Осауленко, Р. Ю.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут математики НАН України 2017
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/53
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine