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arXiv · 2005.04947

Hausdorff dimension and projections related to intersections

Pertti Mattila
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Abstract

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.

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Pertti Mattila. 2020-05-11. Hausdorff dimension and projections related to intersections. https://arxiv.org/abs/2005.04947

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