Products of I.I.D. Random Nonnegative Matrices: Their Skeletons and Convergence in Distribution
نویسندگان
چکیده
Under mild conditions, it is shown that if X1, X2, . . . , is a sequence of d by d random nonnegative i.i.d. matrices, then the convergence in distribution of products X1X2 · · ·Xn essentially depends on the skeletons of X1. (Two d by d nonnegative matrices have the same skeleton if their positive entries appear on identical positions.) AMS (2000) subject classification. 60B15, 60B10, 20M20, 15A51.
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