Assouad dimension of self-affine carpets

Abstract

We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar.

10 pages, 3 figures

References in corpus (1)

• Local structure of self-affine sets

Cited by in corpus (13)

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• The Assouad dimension of randomly generated fractals
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• The quasi-Assouad dimension for stochastically self-similar sets
• The Assouad spectrum of random self-affine carpets
• On the Hausdorff dimension of microsets
• Quantifying inhomogeneity in fractal sets
• Slicing Theorems and rigidity phenomena for self affine carpets
• Slices of the Takagi function
• Self-affine sets with fibered tangents
• Ahlfors regularity and fractal dimension of Smale spaces
• Assouad spectrum of Gatzouras-Lalley carpets