Ryan E. G. Bushling

collaborators

3 papers

math.CA2025

Strong exceptional parameters for the dimension of nonlinear slices

Ryan E. G. Bushling

Let $1 \leq m < s \leq n$ and let $A \subseteq R^{n}$ be a Borel set of with $s$ -dimensional Hausdorff measure $H^{s} (A) > 0$ . The classical Marstrand slicing theore…

math.CA2025

On the packing dimension of distance sets with respect to $C^{1}$ and polyhedral norms

Iqra Altaf, Ryan Bushling, Bobby Wilson

We prove that, for every polyhedral or $C^{1}$ norm on $R^{d}$ and every set $E \subseteq R^{d}$ of packing dimension $s$ , the packing dimension of the distance set of…

math.CA2024

Bounds on the dimension of lineal extensions

Ryan E. G. Bushling, Jacob B. Fiedler

Let $E \subseteq R^{n}$ be a union of line segments and $F \subseteq R^{n}$ the set obtained from $E$ by extending each line segment in $E$ to a full line. Keleti's l…

Strong exceptional parameters for the dimension of nonlinear slices

On the packing dimension of distance sets with respect to C1 and polyhedral norms

Bounds on the dimension of lineal extensions

On the packing dimension of distance sets with respect to $C^{1}$ and polyhedral norms