One distribution function on the 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 $f$, that is a certain distribution function.

arXiv comment12 pages

References in corpus (5)

• On one fractal property of the Minkowski function
• Non-differentiable functions defined in terms of classical representations of real numbers
• On Cantor-like sets and Cantor-Lebesgue singular functions
• On one class of fractal sets
• More on one class of fractals

Cited by in corpus (3)

• Certain singular distributions and fractals
• On certain maps defined by infinite sums
• More on one class of fractals