Self-similar sets and measures on the line
Péter P. Varjú
Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, UK
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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.