Antti Käenmäki

University of Eastern Finland

Super-exponential condensation without exact overlaps

Ergodic Theory and Dynamical Systems Seminar

3rd December 2020, 2:00 pm – 3:00 pm
Online via Zoom, (if interested, please email one of the organisers to gain access to the Zoom link)

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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