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On the Hilbert geometry of simplicial Tits sets
Published 5 Nov 2011 in math.DG and math.MG | (1111.1288v4)
Abstract: The moduli space of convex projective structures on a simplicial hyperbolic Coxeter orbifold is either a point or the real line. Answering a question of M. Crampon, we prove that in the latter case, when one goes to infinity in the moduli space, the entropy of the Hilbert metric tends to 0.
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