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

Oleksandr Slutskyi

doi:10.15559/15-VMSTA44

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

Probability 2016-01-07 v1

Authors: 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.

Keywords

packing dimension distribution function random variable independent $\tilde{Q}$-digit fine packing system faithfulness dimension preservation

Cite

@article{arxiv.1601.01135,
  title  = {On packing dimension preservation by distribution functions of random variables with independent $\tilde{Q}$-digits},
  author = {Oleksandr Slutskyi},
  journal= {arXiv preprint arXiv:1601.01135},
  year   = {2016}
}

Comments

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/)

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

Abstract

Keywords

Cite

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