On the assumptions of a central limit theorem for approximate martingale arrays on a group -- Idempotent measures on commutative hypergroups -- Les variables aleatoires de loi stable et leur representation selon P. Levy -- Parabolic subgroups and factor compactness of measures on semisimple lie groups -- Une caracterisation du type de la loi de Cauchy-Heisenberg -- Levy-Schoenberg kernels on riemannian symmetric spaces of noncompact type -- Exemples d'hypergroupes transients -- Quelques proprietes du noyau potentiel d'une marche aleatoire sur les hypergroupes de type Kunze-Stein -- Sobolev inequalities and random walks -- Uniform distribution in solvable groups -- Absolute continuity and singularity of distributions of dependent observations: Gaussian and exchangeable measures -- Ergodic and mixing properties of measures on locally compact groups -- On jumps of paths of Markov processes -- Recurrent random walks on homogeneous spaces -- A central limit theorem for coalgebras -- Haar measures in a representation and a decomposition problem -- Compactness, medians and moments -- Non-commutative algebraic central limit theorems -- A description of the martin boundary for nearest neighbour random walks on free products -- On hyperbolic hypergroups -- Theoremes de la limite centrale pour les produits de matrices en dependance Markovienne. Resultats recents -- Entropie, theoremes limite et marches aleatoires -- Random walks on graphs -- Stable probability measures on groups and on vector spaces -- Towards a duality theory for algebras -- Random fields on noncommutative locally compact groups.