On the dimension of self‐similar measures with complicated overlaps

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].