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Singular Probability Distributions and Fractal Properties of Sets of Real Numbers Defined by the Asymptotic Frequencies of Their s-Adic Digits

Dedicated to V. S. Korolyuk on occasion of his 80-th birthday Properties of the set Tₛ of "particularly nonnormal numbers" of the unit interval are studied in details (Tₛ consists of real numbers x, some of whose s-adic digits have the asymptotic frequencies in the nonterminating...

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Veröffentlicht in:	Український математичний журнал
Datum:	2005
Hauptverfasser:	Pratsiovytyi, M.V., Torbin, H.M.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Інститут математики НАН України 2005
Schlagworte:	Статті
Online Zugang:	https://nasplib.isofts.kiev.ua/handle/123456789/165826
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Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:	Singular Probability Distributions and Fractal Properties of Sets of Real Numbers Defined by the Asymptotic Frequencies of Their s-Adic Digits / M.V. Pratsiovytyi, H.M. Torbin // Український математичний журнал. — 2005. — Т. 57, № 9. — С. 1163–1170. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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