Pertti Mattila
Published 2020-05-11Version 1
For $S_g(x,y)=x-g(y), x,y\in\mathbb{R}^n, g\in O(n),$ we investigate the Lebesgue measure and Hausdorff dimension of $S_g(A)$ given the dimension of $A$, both for general Borel subsets of $\mathbb{R}^{2n}$ and for product sets.
Hausdorff dimension, projections, intersections, and Besicovitch sets
A survey on the Hausdorff dimension of intersections
On the Lebesgue measure, Hausdorff dimension, and Fourier dimension of sums and products of subsets of Euclidean space
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