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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.PR2024
On the Lebesgue measure of one generalised set of subsums of geometric series
Oleg Makarchuk, Dmytro Karvatskyi
In the present paper, we study a set that can be treated as a generalised set of subsums for a geometric series. This object was discovered independently in various mathematical as…