The Favard length of product Cantor sets

Published 5 Feb 2009 in math.CA and math.MG | (0902.0964v1)

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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