Nicola Cavallucci

activity

20202024

collaborators

4 papers

math.MG2024

Convergence and collapsing of CAT $(0)$ -lattices

Nicola Cavallucci, Andrea Sambusetti

We study the theory of convergence for CAT $(0)$ -lattices (that is groups $Γ$ acting geometrically on proper, geodesically complete CAT $(0)$ -spaces) and their quotients (CAT $(0)$ -or…

math.MG2022

Thin actions on CAT(0) spaces

Nicola Cavallucci, Andrea Sambusetti

We study groups of isometries of packed, geodesically complete, CAT $(0)$ -spaces for which the systole at every point is smaller than a universal constant depending only on the pack…

math.DS2021

Entropies of non positively curved metric spaces

Nicola Cavallucci

We show the equivalences of several notions of entropy, like a version of the topological entropy of the geodesic flow and the Minkowski dimension of the boundary, in metric spaces…

math.MG2020

Packing and doubling in metric spaces with curvature bounded above

Nicola Cavallucci, Andrea Sambusetti

We study locally compact, locally geodesically complete, locally CAT(k) spaces (GCBA(k)-spaces). We prove a Croke-type local volume estimate only depending on the dimension of thes…

Convergence and collapsing of CAT(0)-lattices

Thin actions on CAT(0) spaces

Entropies of non positively curved metric spaces

Packing and doubling in metric spaces with curvature bounded above

Convergence and collapsing of CAT $(0)$ -lattices