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

Abstract

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.

Published at http://dx.doi.org/10.15559/15-VMSTA44 in the Modern Stochastics: Theory and Applications (https://www.i-journals.org/vtxpp/VMSTA) by VTeX (http://www.vtex.lt/)