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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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https://doi.org/10.1007/978-3-662-04743-9Analysis; Diophantine approximation; Fractal; Number theory; Rigidity theory; dynamical systems; ergodic t
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An Introduction to Cocycle Super-Rigidity,The cocycle super-rigidity theorem is a central result in the study of dynamics of semisimple Lie groups and lattices. We give an overview of the main ideas centered on this theorem and some of its most immediate applications. The emphasis will be on the topological and differentiable (as opposed to measurable) aspects of the theory.
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On the Cohomology of Anosov Actions,The goal of this survey is to present recent cohomological results in the theory of Anosov actions, as well as to show how they are related to other results in the field. Due to constraints of space, the presentation is biased toward results related to our work.
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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.
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