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math.DS2025
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…
math.DS2025
Dimensions of orbital sets in complex dynamics
Jonathan M Fraser, Yunlong Xu
Let be a non-empty compact subset of the Riemann sphere and be a rational map of degree at least two. We study the associated \emph{orbital set}, that is, the backwards o…