On packing dimension preservation by distribution functions of random variables with independent $\tilde{Q}$-digits

Abstract

Publisher: VTeX - Solutions for Science Publishing, Journal: Modern Stochastics - Theory and Applications, Title: On packing dimension preservation by distribution functions of random variables with independent Q˜-digits, Authors: Oleksandr Slutskyi , The article is devoted to finding conditions for the packing dimension preservation by distribution functions of random variables with independent $\tilde{Q}$-digits. The notion of “faithfulness of fine packing systems for packing dimension calculation” is introduced, and connections between this notion and packing dimension preservation are found.