Random variables determined by the distributions of their digits in a numeration system with complex base

  • V. Shkol’nyi O.

Abstract

We study the distributions of complex-valued random variables determined by the distributions of their digits in a numeration system with complex base. We establish sufficient conditions for the singularity of such random variables, in particular, in the cases where their spectrum has Lebesgue measure zero (C-type singular distribution) or is a rectangle (S-type singular distribution).
Published
25.12.1998
How to Cite
O.V. S. “Random Variables Determined by the Distributions of Their Digits in a Numeration System With Complex Base”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 12, Dec. 1998, pp. 1715–1720, https://umj.imath.kiev.ua/index.php/umj/article/view/4793.
Section
Short communications