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math.MG2021★ 17 cited
Attainable forms of intermediate dimensions
Amlan Banaji, Alex Rutar
The intermediate dimensions are a family of dimensions which interpolate between the Hausdorff and box dimensions of sets. We prove a necessary and sufficient condition for a given…
math.DS2021★ 16 cited
Intermediate dimensions of Bedford-McMullen carpets with applications to Lipschitz equivalence
Amlan Banaji, István Kolossváry
Intermediate dimensions were recently introduced to provide a spectrum of dimensions interpolating between Hausdorff and box-counting dimensions for fractals where these differ. In…
math.DS2021★ 14 cited
Intermediate dimensions of infinitely generated attractors
Amlan Banaji, Jonathan M. Fraser
We study the dimension theory of limit sets of iterated function systems consisting of a countably infinite number of contractions. Our primary focus is on the intermediate dimensi…