Yves Benoist

Propriétés Asymptotiques des Groupes Linéaires

Abstract. Let G be a reductive linear real Lie group and

ACTIONS PROPRES SUR LES ESPACES HOMOGENES REDUCTIFS

\Gamma

Stationary measures and invariant subsets of homogeneous spaces (II)

be a Zariski dense subgroup. We study asymptotic properties of

Sur les espaces homogènes modèles de variétés compactes

\Gamma

Multiplicité un pour les espaces symétriques exponentiels

through the set of logarithms of the radial components of the elements of

Central limit theorem for linear groups

\Gamma

Random Walks on Reductive Groups

: we prove that the asymptotic cone of this set is a convex cone with non empty interior and is stable by the Cartan involution. Reciprocally any closed convex cone of the positive Weyl chamber whose interior is non empty and which is stable by the opposition involution can be obtained this way.¶We relate this limit cone and the limit set of

Adhérence de Zariski des groupes de Coxeter

\Gamma

Random walks on projective spaces

to the set of open semigroups of G which meet

Tempered reductive homogeneous spaces

\Gamma