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math.PR2016
Asymptotic Lyapunov exponents for large random matrices
Hoi H. Nguyen
Suppose that A_1,\dots, A_N are independent random matrices whose atoms are iid copies of a random variable ξof mean zero and variance one. It is known from the works of Newman et.…
math.PR2016
Normal vector of a random hyperplane
Hoi H. Nguyen, Van H. Vu
Let v_1,...,v_{n-1} be n-1 independent vectors in R^n (or C^n). We study x, the unit normal vector of the hyperplane spanned by the v_i. Our main finding is that x resembles a rand…