On the Hilbert geometry of convex polytopes

  • Constantin Vernicos

    Université Montpellier 2, France
On the Hilbert geometry of convex polytopes cover

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Abstract

We survey the Hilbert geometry of convex polytopes. In particular we present two important characterizations of these geometries, the first one in terms of the volume growth of their metric balls, the second one as a metric bilipschitzly equivalent to the Hilbert geometry in the simplex.