• closedAccess   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 ...
    • openAccess   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 ...