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Subselfsimilar Set

Giving a set F={f_1,f_2,...,f_n} of contracting similitudes of R^l, the closed set E is said to be subselfsimilar for F if

E subset union _(i=1)^nf_i(E)

(Falconer 1995, Duvall and Keesling 1999).

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References

Duvall, P. and Keesling, J. "The Hausdorff Dimension of the Boundary of the Lévy Dragon." 22 Jul 1999. http://arxiv.org/abs/math.DS/9907145.Falconer, K. J. "Sub-Self-Similar Sets." Trans. Amer. Math. Soc. 247, 3121-3129, 1995.

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Subselfsimilar Set

Cite this as:

Weisstein, Eric W. "Subselfsimilar Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SubselfsimilarSet.html

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