MCA, Vol. 28, Pages 49: A Survey on the Hausdorff Dimension of Intersections

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MCA, Vol. 28, Pages 49: A Survey on the Hausdorff Dimension of Intersections

Mathematical and Computational Applications doi: 10.3390/mca28020049

Authors: Pertti Mattila

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

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