Singular distributions of random variables with independent digits of representation in numeral system with natural base and redundant alphabet

Given natural parameters $s$ and $r$, where $2\leq s\leq r$, we consider the distribution of a~ran\-dom variable $$\xi=\sum\limits_{k=1}^{\infty}s^{-k}\xi_k\equiv\Delta^{r_s}_{\xi_1\xi_2...\xi_k...},$$ where $(\xi_k)$ is a sequence of independent random variables taking values in $\{0,1,...,r\}$ wit...

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Bibliografiset tiedot

Päätekijät:	M. V. Pratsiovytyi, S. P. Ratushniak
Aineistotyyppi:	Artigo
Kieli:	Alemão
Julkaistu:	Ivan Franko National University of Lviv 2025-06-01
Sarja:	Математичні Студії
Aiheet:	singular distribution absolutely continuous distribution infinite bernoulli convolution governed by a series numeral system with base 3 and a redundant digit set of incomplete sums of series self-similar set fractal dimension
Linkit:	http://matstud.org.ua/ojs/index.php/matstud/article/view/638
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