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from Part Two - Examples
Published online by Cambridge University Press: 13 October 2020
Self-affine sets are another special case of IFS attractors. Since the defining maps may contract distance by different amounts in different directions, the dimension theory of self-affine sets and measures is more complicated, and much richer, than that of self-similar sets. In this chapter we study self-affine sets in detail, paying particular attention to Bedford–McMullen carpets where our theory can be developed explicitly.
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