Entropies of non-positively curved metric spaces

Author:

Cavallucci NicolaORCID

Abstract

AbstractWe 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.

Funder

DFG

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference27 articles.

1. Babenko, I.: Asymptotic invariants of smooth manifolds. Russian Academy of Sciences. Izvestiya Mathematics 41(1), 1 (1993)

2. Besson, G., Courtois, G., Gallot, S.: Entropies et rigidités des espaces localement symétriques de courbure strictement négative. Geometric and Functional Analysis 5, 731–799, 09 (1995)

3. Besson, G., Courtois, G., Gallot, S., Sambusetti, A.: Curvature-free margulis lemma for gromov-hyperbolic spaces. arXiv preprint arXiv:1712.08386 (2017)

4. Bridson, M., Haefliger, A.: Metric spaces of non-positive curvature, vol. 319. Springer Science & Business Media (2013)

5. Bartels, A., Lück, W.: Geodesic flow for $$\rm CAT (0)$$-groups. Geom. Topol. 16(3), 1345–1391 (2012)

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