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arXiv · 2002.04575

When the Weak Separation Condition implies the Generalized Finite Type Condition

Kathryn E. Hare·Kevin G. Hare·Alex Rutar
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Abstract

We prove that an iterated function system of similarities on $\mathbb{R}$ that satisfies the weak separation condition and has an interval as its self-similar set satisfies the stronger generalized finite type condition. It is unknown if the assumption that the self-similar set is an interval is necessary.

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Kathryn E. Hare, Kevin G. Hare, Alex Rutar. 2020-02-11. When the Weak Separation Condition implies the Generalized Finite Type Condition. https://doi.org/10.1090/proc/15307

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