Super-exponential condensation without exact overlaps

Published 10 Oct 2019 in math.DS | (1910.04623v4)

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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