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A survey on the Hausdorff dimension of intersections
Published 31 Jan 2023 in math.CA | (2301.13478v3)
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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