43 citations · 139 across the 17 of their papers we have counts for
4 papers · 1 filter
Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary
Enrico Le Donne, Sebastiano Nicolussi Golo, Andrea Sambusetti
The paper is devoted to the large scale geometry of the Heisenberg group equipped with left-invariant Riemannian distances. We prove that two such distances have bounde…
Convergence and Counting in Infinite Measure
Françoise Dal'bo, Marc Peigné, Jean-Claude Picaud +1
We construct convergent and divergent lattices in negative curvature and give a precise asymptotic description of the behavior of their counting function.
Asymptotic geometry of negatively curved manifolds of finite volume
F. Dal'Bo, M. Peigné, J. C. Picaud +1
We study the asymptotic behaviour of simply connected, Riemannian manifolds of strictly negative curvature admitting a non-uniform lattice . If the quotient manifold $\bar X…
Quantitative Bounded Distance Theorem and Margulis' Lemma for Z^n actions with applications to homology
Filippo Cerocchi, Andrea Sambusetti
We consider the stable norm associated to a discrete, torsionless abelian group of isometries of a geodesic space . We show that the difference between…