On the $G$-isomorphism of probability and dimensional theories of representations of real numbers and fractal faithfulness of systems of coverings

DOI10.1090/tpms/1006zbMath1414.11096OpenAlexW2749563637WikidataQ114093800 ScholiaQ114093800MaRDI QIDQ5351660

I. I. Garko, Grygoriy Torbin, Roman Nikiforov

Publication date: 30 August 2017

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

Full work available at URL: https://doi.org/10.1090/tpms/1006

zbMATH Keywords

fractalssingularly continuous probability measuresDP-transformationsfaithful covering systems\(F\)-representations\(G\)-isomorphism of numeral systems\(I\)-\(F\)-representations\(I\)-\(Q_\infty\)-representations\(Q_{\infty}\)-representations

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Symbolic dynamics (37B10) Continuity and singularity of induced measures (60G30)

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On singularity of distribution of random variables with independent symbols of Oppenheim expansions ⋮ On the $G$-isomorphism of probability and dimensional theories of representations of real numbers and fractal faithfulness of systems of coverings

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