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Geometric & Functional Analysis GAFA

, Volume 12, Issue 4, pp 776–809 | Cite as

Mesures de Patterson—Sullivan en rang supérieur

  • J.-F. Quint

Abstract.

Let G be a semisimple Lie group with finite center and \( \Gamma \) a discrete Zariski dense subgroup of G. We use here the indicator of growth of \( \Gamma \), introduced in [Q3], to build analoguous of Patterson—Sullivan measures used in \( {\Bbb R} \)-rank 1.¶¶Résumé. Soient G un groupe de Lie semi-simple de centre fini et \( \Gamma \) un sous-groupe discret Zariski dense de G. Nous utilisons ici l'indicateur de croissance de \( \Gamma \), introduit dans [Q3], pour construire des analogues des mesures de Patterson—Sullivan utilisées en \( {\Bbb R} \)-rang 1.

Keywords

Dense Subgroup Finite Center Zariski Dense Subgroup Sullivan Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 2002

Authors and Affiliations

  • J.-F. Quint
    • 1
  1. 1.Département de Mathématiques et Applications, École Normale Supérieure, 45, rue d'Ulm, 75230 Paris Cedex 05, France, e-mail: quint@dma.ens.frFR

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