High-Dimensional Probability
We begin our study of high-dimensional probability with an elegant argument that showcases the usefulness of probabilistic reasoning in geometry. Recall that a convex combination of points z 1;:::;z m 2Rn is a linear combi-nation with coe cients that are non-negative and sum to 1, i.e. it is a sum of the form Xm i=1 iz i where i 0 and Xm i=1 i ...
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