arXiv:math/0202286v1 [math.GR] 27 Feb 2002 Page 1 arXiv:math/0202286v1 [math.GR] 27 Feb
2002 2000]Primary: 20F67; Secondary: 19K, 20F65, 20F69, 22E, 22D, 30C, 30F, 43A, 46E, 46L …

The Poisson boundary of a group G with a probability measure μ is the space of ergodic
components of the time shift in the path space of the associated random walk. Via a …

This paper is concerned with the following general problem. We are given a group G
generated by a finite set S. Suppose that G contains elements with a certain property P. Can …

We develop the structure theory of full isometry groups of locally compact non‐positively
curved metric spaces. Amongst the discussed themes are de Rham decompositions, normal …

We prove that the Poisson boundary of a random walk with finite entropy on a non-
elementary hyperbolic group can be identified with its hyperbolic boundary, without …

A result for subadditive ergodic cocycles is proved that provides more delicate information
than Kingman's subadditive ergodic theorem. As an application we deduce a multiplicative …

We give stronger versions and alternative simple proofs of some results of Beardon,[Be1]
and [Be2]. These results concern contractions of locally compact metric spaces and …

We show that any filtering family of closed convex subsets of a finite-dimensional CAT (0)
space X has a non-empty intersection in the visual bordification X= X ∪ ∂ X. Using this fact …

We build an analogue of the Gromov boundary for any proper geodesic metric space, hence
for any finitely generated group. More precisely, for any proper geodesic metric space $ X …

Let be an orientable surface of finite type and let Mod (Σ) be its mapping class group. We
consider actions of Mod () by semisimple isometries on complete CAT (0) spaces. If the …