Pertti Mattila

collaborators

2 papers

math.CA2026

On the parabolic Hausdorff dimension of orthogonal projections

Terence L. J. Harris, Pertti Mattila

For Borel sets $A \subset R^{n} \times R$ we prove lower bounds for the parabolic Hausdorff dimension of the orthogonal projections of $A$ on generic $m$ -dimensional…

math.CA2024

Packing sets in Euclidean space by affine transformations

Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4

For Borel subsets $I^ \subset O (d) \times R^{d}$ (the set of all rigid motions) and $E \subset R^{d}$ , we define \begin{align*} Î(E):=\bigcup_{(g,z)\in Î}(gE+z). \end{…