One distribution function on the Moran sets

zbMath1464.11079arXiv1808.00395MaRDI QIDQ3387009

Symon Serbenyuk

Publication date: 12 January 2021

Full work available at URL: https://arxiv.org/abs/1808.00395

zbMATH Keywords

Hausdorff dimensionMoran setbase \(s\)-representation

Mathematics Subject Classification ID

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

Related Items (3)

A certain modification of classical singular function ⋮ Certain singular distributions and fractals ⋮ Some fractal properties of sets having the Moran structure

Cites Work

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• On the structures and dimensions of Moran sets
• On one fractal property of the Minkowski function
• On one class of functions with complicated local structure
• The Hausdorff Dimension of λ-Expansions with Deleted Digits
• Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers
• Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers
• Representation of real numbers by the alternating Cantor series

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