Listar por autoría "a6078be8-20b7-4a45-86be-9e4a53d52b23"
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Estimating Support Functions of Random Polytopes via Orlicz Norms
Alonso Gutiérrez, David; Prochno, Joscha Springer-Verlag (2013)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 in an isotropic convex body. All results ... -
On mean outer radii of random polytopes
Alonso Gutiérrez, David; Nikos, Dafnis; Hernández Cifre, Maria Ángeles; Prochno, Joscha Indiana University Mathematics Journal (2014)In this paper we introduce a new sequence of quantities for random polytopes. Let KN = conv{X1, . . . ,XN} be a random polytope generated by independent random vectors uniformly distributed in an isotropic convex body K ...