38 citations · 82 across the 6 of their papers we have counts for
11 papers
Visible part of dominated self-affine sets in the plane
Eino Rossi
The dimension of the visible part of self-affine sets, that satisfy domination and a projection condition, is being studied. The main result is that the assouad dimension of the vi…
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…
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…
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…
Hölder coverings of sets of small dimension
Eino Rossi, Pablo Shmerkin
We show that a set of small box counting dimension can be covered by a Hölder graph from all but a small set of directions, and give sharp bounds for the dimension of the exception…
Rigidity of quasisymmetric mappings on self-affine carpets
Antti Käenmäki, Tuomo Ojala, Eino Rossi
We show that the class of quasisymmetric maps between horizontal self-affine carpets is rigid. Such maps can only exist when the dimensions of the carpets coincide, and in this cas…