4 citations · 8 across the 11 of their papers we have counts for
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math.FA2012★ 1 cited
On mean outer radii of random polytopes
David Alonso-Gutierrez, Nikos Dafnis, Maria A. Hernandez Cifre +1
In this paper we introduce a new sequence of quantities for random polytopes. Let $K_N=\conv\{X_1,...,X_N\}$ be a random polytope generated by independent random vectors uniformly…
math.FA2012★ 2 cited
On the Gaussian behavior of marginals and the mean width of random polytopes
David Alonso-Gutierrez, Joscha Prochno
We show that the expected value of the mean width of a random polytope generated by random vectors () uniformly distributed in an isotropic convex body…
math.FA2012★ 1 cited
Estimating Support Functions of Random Polytopes via Orlicz Norms
David Alonso-Gutierrez, Joscha Prochno
We study the expected value of support functions of random polytopes in a certain direction, where the random polytope is given by independent random vectors uniformly distributed…