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arXiv · 0902.0964

The Favard length of product Cantor sets

Izabella Laba·Kelan Zhai
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Abstract

Nazarov, Peres and Volberg proved recently that the Favard length of the $n$-th iteration of the four-corner Cantor set is bounded from above by $n^{-c}$ for an appropriate $c$. We generalize this result to all product Cantor sets whose projection in some direction has positive 1-dimensional measure.

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Izabella Laba, Kelan Zhai. 2009-02-05. The Favard length of product Cantor sets. https://doi.org/10.1112/blms%2Fbdq059

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