On the dimension of self-similar measures with complicated overlaps

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; and Kamalutdinov and Tetenov.

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