Ábel Farkas

activity

20122019

most citedDimension and measure for generic continuous images

1 citations · 1 across the 2 of their papers we have counts for

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math.DS2016

Interval projections of self-similar sets

Ábel Farkas

We show that if $K$ is a self-similar $1$ -set that is not contained in a line and either satisfies the strong separation condition or is defined via homotheties then there are at m…

math.DS2015

Dimension approximation of attractors of graph directed IFSs by self-similar sets

Ábel Farkas

We show that for the attractor $(K_{1}, \dots, K_{q})$ of a graph directed iterated function system, for each $1 \leq j \leq q$ and $ε > 0$ there exits a self-similar set $K\su…

math.DS2013

Projections of self-similar sets with no separation condition

Ábel Farkas

We investigate how the Hausdorff dimension and measure of a self-similar set $K \subseteq R^{d}$ behave under linear images. This depends on the nature of the group $\mathca…