Entropies of non-positively curved metric spaces
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.
| Zugehörige Institution(en) am KIT | Fakultät für Mathematik (MATH) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 10.2022 |
| Sprache | Englisch |
| Identifikator | ISSN: 0046-5755, 1572-9168 KITopen-ID: 1000150204 |
| Erschienen in | Geometriae Dedicata |
| Verlag | Springer |
| Band | 216 |
| Heft | 5 |
| Seiten | Art.Nr. 54 |
| Vorab online veröffentlicht am | 30.07.2022 |
| Nachgewiesen in | Dimensions Web of Science OpenAlex |