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math.CA2023
Density Properties of Sets in Finite-Dimensional, Strictly Convex Banach Spaces
Bobby Wilson
In this article, we examine the theorem of Mattila establishing rectifiability for regular sets in the setting of strictly convex, finite-dimensional Banach spaces.
math.CA2023
Distance sets bounds for polyhedral norms via effective dimension
Iqra Altaf, Ryan Bushling, Bobby Wilson
We prove that, for every norm on and every , the Hausdorff dimension of the distance set of with respect to that norm is at least $\dim…