collaborators

6 papers

math.DS2026

The entropy of Gromov-Thurston manifolds and branched coverings

Nicola Cavallucci, Merlin Incerti-Medici

We develop a general theory for the dynamics of the geodesic flow of locally CAT(k) branched coverings and we show that it does not depend on the specific covering but only on the…

math.MG2026

CAT(0) spaces quasi-isometric to Euclidean spaces

Nicola Cavallucci, Andrea Sambusetti

We show that if a proper, geodesically complete, CAT(0) homology manifold is quasi-isometric to the Euclidean space R^n then it is homeomorphic to R^n. On the other hand, we show t…

math.MG2024

Otal-Peigné's Theorem for Gromov-hyperbolic spaces

Nicola Cavallucci

We extend the classical Otal-Peigné's Theorem to the class of proper, Gromov-hyperbolic spaces that are line-convex. Namely, we prove that when a group acts discretely and virtual…

math.DS2024

Bishop-Jones' Theorem and the ergodic limit set

Nicola Cavallucci

For a proper, Gromov-hyperbolic metric space and a discrete, non-elementary, group of isometries, we define a natural subset of the limit set at infinity of the group called the er…

math.MG2024

Convergence and collapsing of CAT-lattices

Nicola Cavallucci, Andrea Sambusetti

We study the theory of convergence for CAT-lattices (that is groups acting geometrically on proper, geodesically complete CAT-spaces) and their quotients (CAT-o…

math.GR2024

Finiteness of CAT(0) group actions

Nicola Cavallucci, Andrea Sambusetti

We prove some finiteness results for discrete isometry groups of uniformly packed CAT-spaces with uniformly bounded codiameter (up to group isomorphism), and for CAT$…