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On the dimension of self‐similar measures with complicated overlaps

Balázs Bárány and Edina Szvák

Mathematische Nachrichten, 2021, vol. 294, issue 4, 657-671

Abstract: In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated function system (IFS) {αx,βx,γx+(1−γ)}. We provide an “almost every” type result by a direct application of the results of Feng and Hu [5] and Kamalutdinov and Tetenov [9].

Date: 2021
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https://doi.org/10.1002/mana.201900062

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