17 citations · 77 across the 17 of their papers we have counts for
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Interpolating between Hausdorff and box dimension
Amlan Banaji
Hausdorff and box dimension are two familiar notions of fractal dimension. Box dimension can be larger than Hausdorff dimension, because in the definition of box dimension, all set…
Lower box dimension of infinitely generated self-conformal sets
Amlan Banaji, Alex Rutar
Let be the limit set of an infinite conformal iterated function system and let denote the set of fixed points of the maps. We prove that the box dimension of exists if…
Assouad spectrum of Gatzouras-Lalley carpets
Amlan Banaji, Jonathan M. Fraser, István Kolossváry +1
We study the fine local scaling properties of a class of self-affine fractal sets called Gatzouras-Lalley carpets. More precisely, we establish a formula for the Assouad spectrum o…
Polynomial Fourier decay for fractal measures and their pushforwards
Simon Baker, Amlan Banaji
We prove that the pushforwards of a very general class of fractal measures on under a large family of non-linear maps exhi…