Sets with Arbitrarily Slow Favard Length Decay
classification
🧮 math.CA
keywords
favardlengthsetsarbitrarilydecayvarepsilonarticlecantor
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In this article, we consider the concept of the decay of the Favard length of $\varepsilon$-neighborhoods of purely unrectifiable sets. We construct non-self-similar Cantor sets for which the Favard length decays arbitrarily with respect to $\varepsilon$.
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