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arxiv: 1601.01135 · v1 · pith:4AQLV42Qnew · submitted 2016-01-06 · 🧮 math.PR

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

classification 🧮 math.PR
keywords packingdimensionpreservationdigitsdistributionfunctionsindependentnotion
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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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