Ergodic Theory and Dynamical Systems

Research Article

Produits de matrices aléatoires et applications aux propriétés géometriques des sous-groupes du groupe linéaire

Yves Guivarc'ha1

a1 Université de Paris VI, Laboratoire de Probabilités, Tour 56–3e étage, 4, Place Jussieu, 75252 Paris Cedex 05, France

Abstract

Using the asymptotic properties of products of random matrices we study some properties of the subgroups of the linear group. These properties are centered around the theorem of J. Tits giving the existence of free subgroups in linear groups.

(Received April 25 1988)

(Revised December 15 1989)