For graph-directed Bedford-McMullen carpets, the Assouad dimension equals log α over log n and the lower dimension equals log β over log n, for growth rates α and β of counting sequences.
Bowen, Entropy for group endomorphisms and homogeneous spaces, Trans
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Assouad and lower dimensions of graph-directed Bedford-McMullen carpets
For graph-directed Bedford-McMullen carpets, the Assouad dimension equals log α over log n and the lower dimension equals log β over log n, for growth rates α and β of counting sequences.