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arXiv · 2109.10629

Self-similar sets and measures on the line

Péter P. Varjú
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Abstract

We discuss the problem of determining the dimension of self-similar sets and measures on $\mathbf{R}$. 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.

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Péter P. Varjú. 2021-09-22. Self-similar sets and measures on the line. https://arxiv.org/abs/2109.10629

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