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arXiv · 2301.13478

A survey on the Hausdorff dimension of intersections

Pertti Mattila
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Abstract

Let $A$ and $B$ be Borel subsets of the Euclidean $n$-space with $\dim A + \dim B > n$. This is a survey on the question: what can we say about the Hausdorff dimension of the intersections $A\cap (g(B)+z)$ for generic orthogonal transformations $g$ and translations by $z$.

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Pertti Mattila. 2023-01-31. A survey on the Hausdorff dimension of intersections. https://arxiv.org/abs/2301.13478

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