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.
Bedford, Crinkly curves, Markov partitions and box dimensions in self-similar sets, Ph.D
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CA 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
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.