Entropies of non positively curved metric spaces
Dynamical Systems
2021-05-26 v3 Metric Geometry
Abstract
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 with convex geodesic bicombings satisfying a uniform packing condition. Similar estimates will be given in case of closed subsets of the boundary of Gromov-hyperbolic metric spaces with convex geodesic bicombings.
Keywords
Cite
@article{arxiv.2102.07502,
title = {Entropies of non positively curved metric spaces},
author = {Nicola Cavallucci},
journal= {arXiv preprint arXiv:2102.07502},
year = {2021}
}