One distribution function on the Moran sets
Symon Serbenyuk
TL;DR
This paper investigates the topological, metric, and fractal properties of Moran sets and their images under a specific distribution function, focusing on digit restrictions in s-adic representations.
Contribution
It introduces a new analysis of Moran sets' properties through the lens of a distribution function applied to digit-restricted s-adic representations.
Findings
Characterization of topological properties of the sets
Analysis of fractal dimensions of the images
Insights into the metric structure of digit-restricted Moran sets
Abstract
In the present article, topological, metric, and fractal properties of certain sets are investigated. These sets are images of sets whose elements have restrictions on using digits or combinations of digits in own s-adic representations, under the map , that is a certain distribution function.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Functional Equations Stability Results · Analytic and geometric function theory