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arXiv · 1601.01135

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

Oleksandr Slutskyi
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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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Oleksandr Slutskyi. 2016-01-06. On packing dimension preservation by distribution functions of random variables with independent $\tilde{Q}$-digits. https://doi.org/10.15559/15-vmsta44

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