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arXiv · 1701.08589

Separation conditions on controlled Moran constructions

Antti Käenmäki·Markku Vilppolainen
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Abstract

It is well known that the open set condition and the positivity of the $t$-dimensional Hausdorff measure are equivalent on self-similar sets, where $t$ is the zero of the topological pressure. We prove an analogous result for a class of Moran constructions and we study different kinds of Moran constructions with this respect.

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Antti Käenmäki, Markku Vilppolainen. 2017-01-30. Separation conditions on controlled Moran constructions. https://doi.org/10.4064/fm200-1-2

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