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On the dimension of self-similar measures with complicated overlaps

Bárány, Balázs and Szvák, Edina (2020) On the dimension of self-similar measures with complicated overlaps. Mathematische Nachrichten. ISSN 0025-584X (In Press)

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Abstract

In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated function system (IFS) ${\alpha x, \beta x, \gamma x+(1-\gamma)\}$. We provide an "almost every" type result by a direct application of the results of Feng and Hu and Kamalutdinov and Tetenov.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
Depositing User: Dr. Balázs Bárány
Date Deposited: 12 Sep 2020 17:18
Last Modified: 03 Apr 2023 06:54
URI: http://real.mtak.hu/id/eprint/113084

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