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- W2147509934 abstract "Resume. — On etudie le flot geodesique des quotients geometriquement finis Ω/Γ de geometries de Hilbert, en particulier ses proprietes de recurrence. On prouve, sous une hypothese geometrique sur les cusps, que le flot geodesique est uniformement hyperbolique. Sans cette hypothese, on construit un exemple ou celui-ci a un exposant de Lyapunov nul. On fait le lien entre la dynamique du flot geodesique et certaines proprietes du convexe Ω et du groupe Γ. On en deduit des resultats de rigidite, qui etendent ceux de Benoist et Guichard pour les quotients compacts. Enfin, on s’interesse au lien entre entropie volumique et exposant critique ; on montre entre autres qu’ils coincident lorsque le quotient est de volume fini." @default.
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- W2147509934 date "2014-06-21" @default.
- W2147509934 modified "2023-10-02" @default.
- W2147509934 title "Le flot géodésique des quotients géométriquement finis des géométries de Hilbert" @default.
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- W2147509934 doi "https://doi.org/10.2140/pjm.2014.268.313" @default.
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