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arXiv · 2102.07502

Entropies of non positively curved metric spaces

Nicola Cavallucci
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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.

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Nicola Cavallucci. 2021-02-15. Entropies of non positively curved metric spaces. https://arxiv.org/abs/2102.07502

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