Asymptotic Lyapunov exponents for large random matrices
نویسندگان
چکیده
منابع مشابه
Asymptotic Lyapunov Exponents for Large Random Matrices
Suppose that A1, . . . , AN are independent random matrices whose atoms are iid copies of a random variable ξ of mean zero and variance one. It is known from the works of Newman et. al. in the late 80s that when ξ is gaussian then N−1 log ‖AN . . . A1‖ converges to a non-random limit. We extend this result to more general matrices with explicit rate of convergence. Our method relies on a simple...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2017
ISSN: 1050-5164
DOI: 10.1214/17-aap1293