Abstract
The atomic surface $X_q$ from an unimodular Pisot substitution $\sigma$ usually has the fractal boundary and it generates a selfaffine tiling. In this paper, we study the boundary $\partial X_{q}$ as the graph directed self-affine fractal and estimate the Hausdorff dimension of the boundary.
Citation
De-Jun Feng. Maki Furukado. Shunji Ito. "Pisot substitutions and the Hausdorff dimension of boundaries of atomic surfaces." Tsukuba J. Math. 30 (1) 195 - 223, June 2006. https://doi.org/10.21099/tkbjm/1496165037
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