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

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Rigid Geometric Structures and Representations of Fundamental Groups,slightly stronger hypotheses the Γ-action is a 0-entropy extension of a standard arithmetic example. We give one new result in which this extension can be shown to be continuous rather than measurable.
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The Margulis Invariant of Isometric Actions on Minkowski (2+1)-Space,f hyperbolic surfaces in which . the closed geodesics lengthen (or shorten). Formulas are derived showing that α grows linearly on along a coset of a hyperbolic one-parameter subgroup. An example of a deformation of hyperbolic surfaces is given along with the corresponding Margulis space-time.
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Schottky Subgroups of Mapping Class Groups and the Geometry of Surface-by-Free Groups,hmüller space [Mos01]. This study also applies to give a proof of Minsky’s Theorem, according to which Thurston’s ending lamination conjecture holds in the case of injectivity radius bounded away from zero.
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Coarse-Geometric Perspective on Negatively Curved Manifolds and Groups,ure — can be defined in the general coarse-geometric setting. The main result of the paper is a characterization of the compact negatively curved locally symmetric spaces within this coarse-geometric setting.
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On and Around the Bounded Cohomology of SL2, between dilogarithm functions and the continuous bounded cohomology of SL.(ℝ) and SL.(ℂ). In particular, we obtain that Rogers’ dilogarithm is uniquely determined by the Spence-Abel functional equation.
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