Канторiвська система числення, пов'язана з двійковим рядом і послiдовністю Фiбоначчi

We study geometry of the Cantor notation generated by a sequence of bases $(s_n)$, where $s_n=2^{\varphi_n}$ and $(\varphi_n)$ is a classical Fibonacci sequence. We examine sets of Cantor type with zero and positive Lebesgue measure, in particular anomalously fractal ones.

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Bibliographic Details
Date:2017
Main Authors: Бондаренко, О.І., Працьовитий, М.В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/414
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine