Showing 2024Show all
2 papers · 1 filter
math.DS2024
The distribution of dilating sets: a journey from Euclidean to hyperbolic geometry
Emilio Corso
We survey the distributional properties of progressively dilating sets under projection by covering maps, focusing on manifolds of constant sectional curvature. In the Euclidean ca…
math.CA2024
Dynamical self-similarity, -dimensions and Furstenberg slicing in
Emilio Corso, Pablo Shmerkin
We extend a theorem of the second author on the -dimensions of dynamically driven self-similar measures from the real line to arbitrary dimension. Our approach provides a nove…