3 papers
math.DS2019
Assouad dimension of planar self-affine sets
Balázs Bárány, Antti Käenmäki, Eino Rossi
We calculate the Assouad dimension of a planar self-affine set satisfying the strong separation condition and the projection condition and show that is minimal for the conf…
math.CA2019
Fractal percolation and quasisymmetric mappings
Eino Rossi, Ville Suomala
We study the conformal dimension of fractal percolation and show that, almost surely, the conformal dimension of a fractal percolation is strictly smaller than its Hausdorff dimens…
math.CA2018
On measures that improve dimension under convolution
Eino Rossi, Pablo Shmerkin
The dimensions, for , quantify the degree of smoothness of a measure. We study the following problem on the real line: when does the dimension improve under…