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- W2202777142 abstract "We show that for the attractor $(K_{1},dots,K_{q})$ of a graph directed iterated function system, for each $1leq jleq q$ and $varepsilon>0$ there exits a self-similar set $Ksubseteq K_{j}$ that satisfies the strong separation condition and $dim_{H}K_{j}-varepsilon<dim_{H}K$. We show that we can further assume convenient conditions on the orthogonal parts and similarity ratios of the defining similarities of $K$. Using this property as a `black box' we obtain results on a range of topics including on dimensions of projections, intersections, distance sets and sums and products of sets." @default.
- W2202777142 created "2016-06-24" @default.
- W2202777142 creator A5049030218 @default.
- W2202777142 date "2015-05-21" @default.
- W2202777142 modified "2023-09-27" @default.
- W2202777142 title "Dimension approximation of attractors of graph directed IFSs by self-similar sets" @default.
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