A Survey on the Hausdorff Dimension of Intersections †.

Let A and B be Borel subsets of the Euclidean n-space with  dim A + dim B > 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? [ABSTRACT FROM AUTHOR]