Mean width of random polytopes in a reasonably smooth convex body

Let K be a convex body in R d and let X n = ( x 1 , … , x n ) be a random sample of n independent points in K chosen according to the uniform distribution. The convex hull K n of X n is a random polytope in K , and we consider its mean width W ( K n ) . In this article, we assume that K has a rollin...

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