In the first half of this talk we are going to give an overview of the basic theory of Lyapunov exponents of linear cocycles focusing on the relationship between them and the invariant skew-product measures. The idea is to understand how these measures can be used to give nice properties of the Lyapunov exponents such as positivity and continuity. In the second half, we are going to use these ideas to study the behavior of the Lyapunov exponents of linear cocycles when the base dynamics is a model of a partially hyperbolic skew-product.

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