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math.DS2011★ 5 cited
Lyapunov exponents in Hilbert geometry
Mickaël Crampon
We study the behaviour of a Hilbert geometry when going to infinity along a geodesic line. We prove that all the information is contained in the shape of the boundary at the endpoi…
math.DS2009★ 7 cited
Entropies of compact strictly convex projective manifolds
Mickaël Crampon
Let M be a compact manifold of dimension n with a strictly convex projective structure. We consider the geodesic flow of the Hilbert metric on it, which is known to be Anosov. We p…