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Mather sets for sequences of matrices and applications to the study of joint spectral radii

Mather sets for sequences of matrices and applications to the study of joint spectral radii

The joint spectral radius of a compact set of d×d matrices is defined to be the maximum possible exponential growth rate of products of matrices drawn from that set. In this article, we investigate the ergodic-theoretic structure of those sequences of matrices drawn from a given set whose products grow …