Ross M. Richardson ; van H. Vu ; Lei Wu - Random Inscribing Polytopes

dmtcs:3459 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05) - https://doi.org/10.46298/dmtcs.3459
Random Inscribing PolytopesConference paper

Authors: Ross M. Richardson 1; Van H. Vu ; Lei Wu 1

  • 1 Department of Mathematics [Univ California San Diego]

For convex bodies K with C2 boundary in Rd, we provide results on the volume of random polytopes with vertices chosen along the boundary of K which we call random inscribing polytopes. In particular, we prove results concerning the variance and higher moments of the volume, as well as show that the random inscribing polytopes generated by the Poisson process satisfy central limit theorem.


Volume: DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Section: Proceedings
Published on: January 1, 2005
Imported on: May 10, 2017
Keywords: random polytope,inscribing,boundary,volume,variance,central limit theorem,[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

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