Exceptional sets for self-affine fractals
نویسندگان
چکیده
Under certain conditions the ‘singular value function’ formula gives the Hausdorff dimension of self-affine fractals for almost all parameters in a family. We show that the size of the set of exceptional parameters is small both in the sense of Hausdorff dimension and Fourier dimension.
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 2007