Some fractal properties of sets having the Moran structure
type: Item
instance of: scholarly article
title: Some fractal properties of sets having the Moran structure
author: Symon Serbenyuk
published in: Tatra Mountains Mathematical Publications
publication date: 2022-12-01T00:00:00Z
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 26A09
zbMATH DE Number: 7625849
zbMATH Keywords: fractal
zbMATH Keywords: Cantor-like set
zbMATH Keywords: Moran structure
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: self-similar set
zbMATH Keywords: s-adic representation
zbMATH Keywords: nega-s-adic representation
zbMATH Keywords: alternating Cantor series
zbMATH Keywords: mixed s-adic series
zbMATH Keywords: nega-s-adic Cantor series
MaRDI profile type: Publication
full work available at URL: tmmp-2022-0001
OpenAlex ID: W4310282498
cites work: A multifractal formalism for Hewitt-Stromberg measures
cites work: On the mutual singularity of Hewitt-Stromberg measures
cites work: On the mutual singularity of multifractal measures
cites work: Another example of the mutual singularity of multifractal measures
cites work: On the mutual singularity of Hewitt-Stromberg measures for which the multifractal functions do not necessarily coincide
cites work: Techniques in fractal geometry
cites work: Q4431283
cites work: On the structures and dimensions of Moran sets
cites work: Multifractal analysis of Bernoulli measures on a class of homogeneous Cantor sets
cites work: Number theoretic applications of a class of Cantor series fractal functions. I
cites work: Q4154814
cites work: Q5844839
cites work: A multifractal formalism
cites work: On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture
cites work: The Hausdorff Dimension of λ-Expansions with Deleted Digits
cites work: Local dimensions and quantization dimensions in dynamical systems
cites work: On Some Singular Monotonic Functions Which Are Strictly Increasing
cites work: The relative multifractal analysis, review and examples
cites work: A review on multifractal analysis of Hewitt-Stromberg measures
cites work: The mutual singularity of multifractal measures for some non-regular Moran fractals
cites work: Representation of real numbers by the alternating Cantor series
cites work: On one fractal property of the Minkowski function
cites work: On one class of functions with complicated local structure
cites work: Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers
cites work: Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers
cites work: On One Application of Infinite Systems of Functional Equations in Function Theory
cites work: One distribution function on the Moran sets
cites work: Certain singular distributions and fractals
cites work: The multifractal spectrum of some Moran measures
cites work: The singularity spectrum \(f(\alpha)\) of some Moran fractals
cites work: The singularity spectrum of some non-regularity Moran fractals
cites work: THE MULTIFRACTAL DIMENSION FUNCTIONS OF HOMOGENEOUS MORAN MEASURE
cites work: Multifractal spectra of Moran measures without local dimension
DOI: 10.2478/TMMP-2022-0001
description: scientific article; zbMATH DE number 7625849