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arXiv · 1109.0187

On the Hilbert Geometry of products

Constantin Vernicos
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Abstract

We prove that the Hilbert geometry of a product of convex sets is bi-lipschitz equivalent the direct product of their respective Hilbert geometries. We also prove that the volume entropy is additive with respect to product and that amenability of a product is equivalent to the amenability of each terms.

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Constantin Vernicos. 2011-09-01. On the Hilbert Geometry of products. https://arxiv.org/abs/1109.0187

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