A probabilistic approach to studies of DP-transformations and faithfullness of covering systems to evaluate the Hausdorff–Besicovitch dimension

DOI10.1090/tpms/980zbMath1346.60074OpenAlexW2478119599MaRDI QIDQ2817045

Grygoriy Torbin, M. H. Ibragim

Publication date: 29 August 2016

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/980

zbMATH Keywords

Hausdorff-Besicovitch dimension\(Q^*\)-representationsDP-transformationsfaithful covering systemssingularly continuous probability distributions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Stochastic processes (60G99) Fractals (28A80) Distribution theory (60E99) Continuity and singularity of induced measures (60G30) Hausdorff and packing measures (28A78)

Related Items

RESEARCH ON RISK MEASUREMENT OF SUPPLY CHAIN FINANCE BASED ON FRACTAL THEORY

Cites Work

• A note on equivalent interval covering systems for Hausdorff dimension on \(\mathbb R\)
• Fractal properties of singular probability distributions with independent \(Q^{\ast}\)-digits
• Transformations preserving the Hausdorff-Besicovitch dimension
• On fractal properties of non-normal numbers with respect to Rényi \(f\)-expansions generated by piecewise linear functions
• Fractal properties of random variables with independent $Q_{\infty }$-symbols
• Fractal probability distributions and transformations preserving the HausdorffBesicovitch dimension
• Multifractal Analysis of Singularly Continuous Probability Measures
• The dimension of some sets defined in terms of f-expansions
• On Information and Sufficiency
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A probabilistic approach to studies of DP-transformations and faithfullness of covering systems to evaluate the Hausdorff–Besicovitch dimension