On packing dimension preservation by distribution functions of random variables with independent -digits
Volume 2, Issue 4 (2015), pp. 371–389
Pub. online: 23 December 2015
Type: Research Article
Open Access
Open Access
Received
16 October 2015
16 October 2015
Revised
13 December 2015
13 December 2015
Accepted
13 December 2015
13 December 2015
Published
23 December 2015
23 December 2015
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.
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