3 papers
math.CA2025
On the dimension distortion under fractionally smooth mappings
Ryan Alvarado, Efstathios Konstantinos Chrontsios Garitsis
We determine the extent to which certain classes of fractionally `smooth' continuous mappings between metric spaces distort various dimensions, including the Hausdorff, upper Minko…
math.CA2025
On the Assouad spectrum of Hölder and Sobolev graphs
Efstathios Konstantinos Chrontsios Garitsis, Jeremy T. Tyson
We provide upper bounds for the Assouad spectrum of the graph of a real-valued Hölder or Sobolev function defined on an interval $I \subset \mathbb{R…
math.DS2025
On concentric fractal spheres and spiral shells
Efstathios Konstantinos Chrontsios Garitsis
We investigate dimension-theoretic properties of concentric topological spheres, which are fractal sets emerging both in pure and applied mathematics. We calculate the box dimensio…