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

• Published in: Український математичний журнал
• Date: 2005
• Main Authors: Pratsiovytyi, M.V., Torbin, H.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165826
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...