General iterated function systems: Hausdorff dimension

Chaos. 2023 Mar;33(3):033118. doi: 10.1063/5.0136663.

Abstract

It is shown by Denker and Yuri [Contemp. Math. 63, 93-108 (2015)] that "general" iterated function systems admit conformal families of measures. Here, we relate this property to estimating Hausdorff dimension in the expanding case, including overlaps. A correct formulation of Theorem 3.11 in the above paper is provided as well.