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math.CA2020
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…
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…