Self-similar sets that satisfy a certain separation condition (the open set condition) are quite well understood. However, self-similar sets with "overlap", and self-affine sets (with or without overlap) still retain many mysteries. We list a few of these unsolved problems, and give references for the relevant background.
CITATION STYLE
Peres, Y., & Solomyak, B. (2000). Problems on Self-similar Sets and Self-affine Sets: An Update. In Fractal Geometry and Stochastics II (pp. 95–106). Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8380-1_4
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