%0 Journal Article %T On the Hilbert geometry of simplicial Tits sets %A Xin Nie %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1111.1288v4