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07 February 2025
 
  » arxiv » 1109.0187

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On the Hilbert Geometry of products
Constantin Vernicos ;
Date 1 Sep 2011
AbstractWe 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.
Source arXiv, 1109.0187
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