3 papers
math.NT2025
Unboundedness of shapes of unit lattices in totally real cubic fields
Emilio Corso, Federico Rodriguez Hertz
The question of the distribution of shapes of unit lattices in number fields, pioneered by Margulis and Gromov, has lately attracted considerable interest, not least because of the…
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…