52 citations · 92 across the 13 of their papers we have counts for
4 papers · 1 filter
Exeptional set estimates for the Hausdorff dimension of intersections
Pertti Mattila
For Borel subsets A and B of the Euclidean n-space the intersection of A with generic rotations and translations of B has often Hausdorff dimension at least dim A + dim B - n. Esti…
Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes
Kenneth Falconer, Pertti Mattila
We present strong versions of Marstrand's projection theorems and other related theorems. For example, if E is a plane set of positive and finite s-dimensional Hausdorff measure, t…
Lipschitz equivalence of subsets of self-conformal sets
Marta Llorente, Pertti Mattila
We give sufficient conditions to guarantee that if two self-conformal sets E and F have Lipschitz equivalent subsets of positive measure, then there is a bilipschitz map of E into,…
Ahlfors-David regular sets and bilipschitz maps
Pertti Mattila, Pirjo Saaranen
Given two Ahlfors-David regular sets in metric spaces, we study the question whether one of them has a subset bilipschitz equivalent with the other.