Genericity of dimension drop on self-affine sets

Antti Käenmäki and Bing Li

Statistics & Probability Letters, 2017, vol. 126, issue C, 18-25

Abstract: We prove that generically, for a self-affine set in Rd, 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.

Keywords: Thermodynamic formalism; Singular value function; Products of matrices; Self-affine set (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.02.028

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