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 $\Gamma \cong {\mathbb{Z}}^n$ of a geodesic space $(X,d)$. We show that the difference between…