On Intersections of Cantor Sets: Hausdorff Measure

Details On Intersections of Cantor Sets: Hausdorff Measure On Intersections of Cantor Sets: Hausdorff Measure

2012-03-19

arxiv.org/abs/1203.4290v1

Mathematics

Metric Geometry

18 pages

Scientific paper

We establish formulas for bounds on the Haudorff measure of the intersection
of certain Cantor sets with their translates. As a consequence we obtain a
formula for the Hausdorff dimensions of these intersections.

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