### The joint spectrum

Ergodic Theory and Dynamical Systems Seminar

21st March 2019, 3:00 pm – 4:00 pm

Howard House, 4th Floor Seminar Room

We will define the notion of joint spectrum of a compact subset of GLd(R) which is a multidimensional generalization of joint spectral radius. We will talk about its properties such as convexity, continuity and mention some relations to ergodic optimization. Finally, we will make connections with random products of matrices. (Joint work with Emmanuel Breuillard)

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