The Favard length of product Cantor sets
Classical Analysis and ODEs
2010-11-02 v1 Metric Geometry
Abstract
Nazarov, Peres and Volberg proved recently that the Favard length of the -th iteration of the four-corner Cantor set is bounded from above by for an appropriate . We generalize this result to all product Cantor sets whose projection in some direction has positive 1-dimensional measure.
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Cite
@article{arxiv.0902.0964,
title = {The Favard length of product Cantor sets},
author = {Izabella Laba and Kelan Zhai},
journal= {arXiv preprint arXiv:0902.0964},
year = {2010}
}
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16 pages