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math.MG2012
Two properties of volume growth entropy in Hilbert geometry
Bruno Colbois, Patrick Verovic
The aim of this paper is to provide two examples in Hilbert geometry which show that volume growth entropy is not always a limit on the one hand, and that it may vanish for a non-p…
math.MG2008★ 24 cited
Hilbert geometry for convex polygonal domains
Bruno Colbois, Constantin Vernicos, Patrick Verovic
We prove in this paper that the Hilbert geometry associated with an open convex polygonal set is Lipschitz equivalent to Euclidean plane.
math.MG2008★ 4 cited
Hilbert domains quasi-isometric to normed vector spaces
Bruno Colbois, Patrick Verovic
We prove that a Hilbert domain which is quasi-isometric to a normed vector space is actually a convex polytope.