Certain singular distributions and fractals
Classical Analysis and ODEs
2022-07-25 v4
Abstract
In the present article, the main attention is given to fractal sets whose elements have certain restrictions on using digits or combinations of digits in own nega-P-representation. Topological, metric, and fractal properties of images of certain self-similar fractals under the action of some singular distributions, are investigated.
Cite
@article{arxiv.2005.02485,
title = {Certain singular distributions and fractals},
author = {Symon Serbenyuk},
journal= {arXiv preprint arXiv:2005.02485},
year = {2022}
}
Comments
22 pages. This research is an extension of investigation arXiv:1808.00395. arXiv admin note: text overlap with arXiv:1706.01546