Assouad dimension of self-affine carpets

John M. Mackay
2011 Conformal Geometry and Dynamics  
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.
doi:10.1090/s1088-4173-2011-00232-3 fatcat:oyhyytovbvcr3lhcjeyx74h73q