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Assouad dimension of self-affine carpets

Research paper by John M. Mackay

Indexed on: 21 Nov '11Published on: 21 Nov '11Published in: Mathematics - Metric Geometry



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.