This book presents the foundations of the theory of groups and semigroups acting
isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the …

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 …

Let D be a bounded convex domain in Rn and let h be the Hilbert metric, which is defined as
follows. For any distinct points x, y∈ D let x′ and y′ be the intersections of the line …

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 establish a maximin characterisation of the linear escape rate of the orbits of a non-
expansive mapping on a complete (hemi-) metric space, under a mild form of Busemann's …

A general fixed point theorem for isometries in terms of metric functionals is proved under
the assumption of the existence of a conical bicombing. It is new for isometries of convex …

We prove that when a countable group admits a nontrivial Floyd-type boundary, then every
nonelementary and metrically proper subgroup contains a noncommutative free subgroup …

In this article, we study notions of visibility with respect to the Kobayashi distance for
relatively compact complex submanifolds in Euclidean spaces. We present a sufficient …

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 …