Asymptotic volume in Hilbert Geometries

Published 4 Jul 2012 in math.MG, math.DG, and math.SG | (1207.1142v1)

Abstract: We prove that the metric balls of a Hilbert geometry admit a volume growth at least polynomial of degree their dimension. We also characterise the convex polytopes as those having exactly polynomial volume growth of degree their dimension.

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Authors (1)

Constantin Vernicos

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