Asymptotic volume in Hilbert Geometries
classification
🧮 math.MG
math.DGmath.SG
keywords
volumedegreedimensiongrowthhilbertpolynomialadmitasymptotic
read the original 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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