A class of probability distribution functions preserving the packing dimension

DOI10.1016/j.spl.2011.07.010zbMath1229.28019OpenAlexW1967762596MaRDI QIDQ645417

Jinjun Li

Publication date: 15 November 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.07.010

zbMATH Keywords

packing dimensionprobability distribution function\(\tilde Q\)-representation

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Related Items (1)

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

Cites Work

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• Hausdorff and packing dimensions of the images of random fields
• Packing dimension of the image of fractional Brownian motion
• Fractal properties of singular probability distributions with independent \(Q^{\ast}\)-digits
• Transformations preserving the Hausdorff-Besicovitch dimension
• A packing dimension theorem for Gaussian random fields
• Packing-dimension profiles and fractional Brownian motion
• Two definitions of fractional dimension
• Are the dimensions of a set and its image equal under typical smooth functions?
• The packing measure of the trajectories of multiparameter fractional Brownian motion
• Fractal probability distributions and transformations preserving the HausdorffBesicovitch dimension
• Billingsley’s packing dimension

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