Establishes linear escape with large deviations for log(s1/s2) of singular values in random matrix products, exponential line convergence, and a.s. convergence of rescaled log entries to top Lyapunov exponent via grouping of i.i.d. factors into aligned words, without using stationary measures.
o dinger operators , volume 8 of Prog. Probab. Stat. Birkh \
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Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions
Establishes linear escape with large deviations for log(s1/s2) of singular values in random matrix products, exponential line convergence, and a.s. convergence of rescaled log entries to top Lyapunov exponent via grouping of i.i.d. factors into aligned words, without using stationary measures.