Assouad dimension of self-affine carpets

Details Assouad dimension of self-affine carpets Assouad dimension of self-affine carpets

2010-03-03

arxiv.org/abs/1003.0930v2

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

Mathematics

Metric Geometry

10 pages, 3 figures

Scientific paper

10.1090/S1088-4173-2011-00232-3

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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