This is the second edition of a book which appeared in 2005. The new edition is an
expanded and revised version. The book is about metric spaces of nonpositive curvature in …

For noncompact semisimple Lie groups G with finite center, we study the dynamics of the
actions of their discrete subgroups Γ< G on the associated partial flag manifolds G∕ P. Our …

This paper presents a study of the asymptotic geometry of groups with contracting elements,
with emphasis on a subclass of statistically convex-cocompact (SCC) actions. The class of …

Abstract Let D⊂ C n be a bounded domain. A pair of distinct boundary points {p, q} of D has
the visibility property provided there exist a compact subset K p, q⊂ D and open …

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 …

In this paper we introduce a new class of domains in complex Euclidean space, called
Goldilocks domains, and study their complex geometry. These domains are defined in terms …

We consider a finite dimensional, locally finite CAT. 0/cube complex X admitting a co-
compact properly discontinuous countable group of automorphisms G. We construct a …

In this paper we study when the Kobayashi distance on a Kobayashi hyperbolic domain has
certain visibility properties, with a focus on unbounded domains.“Visibility” in this context is …

Let G be a one-ended group acting discretely and co-compactly on a CAT (0) space X. We
show that∂ X has no cut points and that one can detect splittings of G over two-ended …

In this paper we develop a theory of Patterson-Sullivan measures associated to coarse
cocycles of convergence groups. This framework includes Patterson-Sullivan measures …