2 citations · 4 across the 6 of their papers we have counts for
6 papers
Strong exceptional parameters for the dimension of nonlinear slices
Ryan E. G. Bushling
Let and let be a Borel set of with -dimensional Hausdorff measure . The classical Marstrand slicing theore…
On the packing dimension of distance sets with respect to and polyhedral norms
Iqra Altaf, Ryan Bushling, Bobby Wilson
We prove that, for every polyhedral or norm on and every set of packing dimension , the packing dimension of the distance set of…
Bounds on the dimension of lineal extensions
Ryan E. G. Bushling, Jacob B. Fiedler
Let be a union of line segments and the set obtained from by extending each line segment in to a full line. Keleti's l…
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…
A singular integral identity for surface measure
Ryan E. G. Bushling
We prove that the integral of a certain Riesz-type kernel over -rectifiable sets in is constant, from which a formula for surface measure immediately follows.…
Exceptional projections of sets exhibiting almost dimension conservation
Ryan E. G. Bushling
We establish a packing dimension estimate on the exceptional sets of orthogonal projections of sets satisfying an almost dimension conservation law. In particular, the main result…