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arXiv · 1910.04623

Super-exponential condensation without exact overlaps

Balázs Bárány·Antti Käenmäki
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Abstract

We exhibit self-similar sets on the line which are not exponentially separated and do not generate any exact overlaps. Our result shows that the exponential separation, introduced by Hochman in his groundbreaking theorem on the dimension of self-similar sets, is too weak to describe the full theory.

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Balázs Bárány, Antti Käenmäki. 2019-10-10. Super-exponential condensation without exact overlaps. https://arxiv.org/abs/1910.04623

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