Exceptional sets for self-affine fractals

KENNETH FALCONER, JUN MIAO

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Source: Crossref

Published: Nov 1, 2008

DOI: 10.1017/s0305004108001576

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Source abstract

Abstract 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.

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