On the dimension of self-similar measures with complicated overlaps

Published 11 Feb 2019 in math.DS | (1902.04028v2)

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.

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