Genericity of Dimension Drop on Self-affine Sets
نویسنده
چکیده
We prove that generically, for a self-affine set in R, removing one of the affine maps which defines the set results in a strict reduction of the Hausdorff dimension. This gives a partial positive answer to a folklore open question.
منابع مشابه
Explicit Bounds for the Hausdorff Dimension of Certain Self-Affine Sets
A lower bound of the Hausdorff dimension of certain self-affine sets is given. Moreover, this and other known bounds such as the box dimension are expressed in terms of solutions of simple equations involving the singular values of the affinities. Keyword Codes: G.2.1;G.3
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تاریخ انتشار 2016