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math.PR2005★ 9 cited
Random symmetric matrices are almost surely non-singular
Kevin Costello, Terence Tao, Van Vu
Let denote a random symmetric by matrix, whose upper diagonal entries are i.i.d. Bernoulli random variables (which take values 0 and 1 with probability 1/2). We prove…
math.PR2005
Central limit theorems for random polytopes in a smooth convex set
Van Vu
Let be a smooth convex set with volume one in $\BBR^d$. Choose random points in independently according to the uniform distribution. The convex hull of these points, de…