6 papers
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…
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…
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…
Large hyperbolic circles
Emilio Corso, Davide Ravotti
We consider circles of common centre and increasing radius on a compact hyperbolic surface and, more generally, on its unit tangent bundle. We establish a precise asymptotics for t…
Large deviations for irreducible random walks on relatively hyperbolic groups
Emilio Corso
We show existence of the weak large deviation principle, with a convex rate function, for the renormalized distance from the starting point of irreducible random walks on relativel…
Large deviations for random walks on free products of finitely generated groups
Emilio Corso
We prove existence of the large deviation principle, with a proper convex rate function, for the distribution of the renormalized distance from the origin of a random walk on a fre…