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arXiv · 1404.5107

Boundaries, rigidity of representations, and Lyapunov exponents

Uri Bader·Alex Furman
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Abstract

In this paper we discuss some connections between measurable dynamics and rigidity aspects of group representations and group actions. A new ergodic feature of familiar group boundaries is introduced, and is used to obtain rigidity results for group representations and to prove simplicity of Lyapunov exponents for some dynamical systems.

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Uri Bader, Alex Furman. 2014-04-21. Boundaries, rigidity of representations, and Lyapunov exponents. https://arxiv.org/abs/1404.5107

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