Lyapunov exponents in Hilbert geometry

DOI10.1017/etds.2012.145zbMath1338.37044arXiv1105.6275OpenAlexW3098536855MaRDI QIDQ5415939

Mickaël Crampon

Publication date: 19 May 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.6275

zbMATH Keywords

convex setsgeodesicsgeodesic flowhyperbolicLyapunov exponentHilbert geometryapproximately regular

Mathematics Subject Classification ID

Metric geometry (51F99) Invariant manifold theory for dynamical systems (37D10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

The structure of projective maps between real projective manifolds ⋮ Primitive stable representations in higher rank semisimple Lie groups ⋮ Ergodicity of Bowen-Margulis measure for the Benoist 3-manifolds ⋮ Geodesic flow of nonstrictly convex Hilbert geometries ⋮ Continuity of the SRB entropy of convex projective structures ⋮ On convex projective manifolds and cusps

Cites Work

• Entropies of strictly convex projective manifolds
• Volume entropy of Hilbert geometries
• Hyperbolic convex sets and quasisymmetric functions
• Hilbert geometry for strictly convex domains

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