Titlebook: Rigidity in Dynamics and Geometry; Contributions from t Marc Burger,Alessandra Iozzi Book 2002 Springer-Verlag Berlin Heidelberg 2002 Analy

我正派

Coarse-Geometric Perspective on Negatively Curved Manifolds and Groups,a Γ-orbit, Γ., one obtains a left invariant metric .. on Γ, which is well defined up to a bounded amount, depending on the choice of the orbit Γ.. Motivated by this geometric example, we study classes [.]of general left-invariant metrics . on general Gromov hyperbolic groups Γ, where [..]= [..]if ..

品尝你的人

驳船

The Margulis Invariant of Isometric Actions on Minkowski (2+1)-Space,of SO.(2,1). Margulis has defined an invariant α: Γ → ℝ closely related to dynamical properties of the action of Γ. This paper surveys various properties of this invariant. It is interpreted in terms of deformations of hyperbolic structures on surfaces. Proper affine actions determine deformations o

Basilar-Artery

PON

Appendix: Diophantine Approximation on Hyperbolic Surfaces,irit of Sect. 2 (or [11]), and the many still open questions that arise for them. We refer to [9], [10]for fundamental results and further developments. We study in particular the distance to a cusp of closed geodesics on a hyperbolic surface.

吹气

aspersion

SAT Actions and Ergodic Properties of the Horosphere Foliation,nberg and by the definition of an approximatively transitive action due to Connes and Woods. We introduce a slightly stronger condition SAT* and establish several general ergodic properties of SAT* actions. This notion turns out to be quite helpful for studying ergodic properties of the horosphere f

手势

Nonexpanding Maps, Busemann Functions, and Multiplicative Ergodic Theory,in generalizations of some results of Beardon, which extends the Wolff-Denjoy theorem in complex analysis..Second, we consider certain cocycles, or ‘random products’, of nonexpanding maps of nonpositively curved spaces. In a joint work with Margulis, we obtained that almost every trajectory lies on

FLAGR

Cursory

Schottky Subgroups of Mapping Class Groups and the Geometry of Surface-by-Free Groups,up of rank ≥ 2 in the mapping class group MCG(Σ) = Out(π.Σ). In joint work with Benson Farb [FM01], [FM00a]we characterize when Γ. is word hyperbolic, and when it is, we prove that Γ. is quasi-isometrically rigid in a very strong sense..These results require a study of stable quasi-geodesics in Teic