Entropies of non-positively curved metric spaces

Cavallucci Nicola

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Entropies of non-positively curved metric spaces

机译：非正弯曲度量空间的熵

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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.

机译：摘要在度量空间中，我们展示了几个熵概念的等价性，如测地线流的拓扑熵和边界的闵可夫斯基维数，在度量空间中，凸测地线双梳满足均匀堆积条件.在具有凸测地线双梳的格罗莫夫双曲度量空间边界的闭合子集的情况下，将给出类似的估计。

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《Geometriae Dedicata》 |2022年第5期|共5页
作者
Cavallucci Nicola;
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作者单位

Karlsruher Institut für Technologie;

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正文语种英语
中图分类几何、拓扑;
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Entropies of non-positively curved metric spaces

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