Open set condition and pseudo Hausdorff measure of self-affine IFSs

28 Feb 2019 Fu Xiaoye Gabardo Jean-Pierre Qiu Hua

Let $A$ be an $n\times n$ real expanding matrix and $\mathcal{D}$ be a finite subset of $\mathbb{R}^n$ with $0\in\mathcal{D}$. The family of maps $\{f_d(x)=A^{-1}(x+d)\}_{d\in\mathcal{D}}$ is called a self-affine iterated function system (self-affine IFS)... (read more)

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  • METRIC GEOMETRY
  • DYNAMICAL SYSTEMS