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I'm trying to understand Theorem 1.1 in Limit laws for random matrix products. It states that a specific product of random matrices converges to a set matrix but I don't know which kind of convergence of random variables is meant here. Is it almost sure or even sure convergence?

Thanks in advance.

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Theorem 1.1 does not refer to a probabilistic limit, it holds elementwise for any given series of matrices that satisfies the conditions stated in the theorem.

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