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Exeptional set estimates for the Hausdorff dimension of intersections

Published 27 Jun 2016 in math.MG | (1606.09154v1)

Abstract: For Borel subsets A and B of the Euclidean n-space the intersection of A with generic rotations and translations of B has often Hausdorff dimension at least dim A + dim B - n. Estimates for the exceptional set of rotations are derived.

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