More on one class of fractals

Abstract

This article is devoted to sets having the Moran structure. The main attention is given to topological, metric, and fractal properties of certain sets whose elements have restrictions on using digits or combinations of digits in own representations.

32 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
• One distribution function on the Moran sets
• On one class of fractal sets

Cited by in corpus (2)

• On certain maps defined by infinite sums
• One distribution function on the Moran sets