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?