Self-similar sets and measures on the line
Péter P. Varjú
Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, UK
![Self-similar sets and measures on the line cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fbooks%2Fcover-277.png&w=3840&q=90)
Download Chapter PDF
This book chapter is published open access.
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.