Assouad dimension of self-affine carpets

Mackay, John

doi:10.1090/S1088-4173-2011-00232-3

Assouad dimension of self-affine carpets
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by John M. Mackay

Conform. Geom. Dyn. 15 (2011), 177-187

DOI: https://doi.org/10.1090/S1088-4173-2011-00232-3

Published electronically: November 2, 2011

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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.

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