On new fractal phenomena connected with infinite linear IFS
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Publication:5275847
DOI10.1002/mana.201500471zbMath1426.11077arXiv1507.05672OpenAlexW2963793209MaRDI QIDQ5275847
Roman Nikiforov, Grygoriy Torbin, Sergio A. Albeverio, Yuri G. Kondratiev
Publication date: 14 July 2017
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.05672
Hausdorff dimensionfractalsLüroth expansionnon-normal numbersinfinite IFSsingular probability measures\(Q_\infty\) expansionfaithful and non-faithful nets
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)
Related Items (8)
On the Hausdorff dimension faithfulness of continued fraction expansion ⋮ On fractal faithfulness and fine fractal properties of random variables with independent \(Q^*\)-digits ⋮ Fractal properties of random variables with independent $Q_{\infty }$-symbols ⋮ 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 ⋮ New Hilbert space tools for analysis of graph Laplacians and Markov processes ⋮ Borel complexity of sets of normal numbers via generic points in subshifts with specification ⋮ Non-normal numbers: full Hausdorff dimensionality vs zero dimensionality
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