2 papers
math.PR2026
Infinite Bernoulli convolutions generated by multigeometric series and their properties
Mykola Pratsiovytyi, Dmytro Karvatskyi, Oleg Makarchuk
The paper is devoted to infinite Bernoulli convolutions generated by positive multigeometric series and to probability distributions of random variables whose digits in an even int…
math.NT2026
Transformations and functions that preserve the asymptotic mean of digits in the ternary representation of a number
M. V. Pratsiovytyi, S. O. Klymchuk, O. P. Makarchuk
In the paper we study transformations of the interval and functions that preserve the asymptotic mean of the digits in the --adic representation of a number , $$r…