2 citations · 2 across the 1 of their papers we have counts for
2 papers
math.CA2014★ 2 cited
Equi-homogeneity, Assouad Dimension and Non-autonomous Dynamics
Alexander M. Henderson, Eric J. Olson, James C. Robinson +1
We show that self-similar sets arising from iterated function systems that satisfy the Moran open-set condition, a canonical class of fractal sets, are `equi-homogeneous'. This is…
math.CA2014
On the Assouad dimension of self-similar sets with overlaps
Jonathan. M. Fraser, Alexander. M. Henderson, Eric J. Olson +1
It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can exceed the similarity dimension if there are overlaps in the construction. Our mai…