Self-similar sets and measures on the line
Classical Analysis and ODEs
2021-09-23 v1
Abstract
We discuss the problem of determining the dimension of self-similar sets and measures on . We focus on the developments of the last four years. At the end of the paper, we survey recent results about other aspects of self-similar measures including their Fourier decay and absolute continuity.
Keywords
Cite
@article{arxiv.2109.10629,
title = {Self-similar sets and measures on the line},
author = {Péter P. Varjú},
journal= {arXiv preprint arXiv:2109.10629},
year = {2021}
}
Comments
28 pages