A Slight Improvement to the Colored Bárány’s Theorem

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4 Scopus citations


Suppose d+1 absolutely continuous probability measures m0,…,md on ℝd are given. In this paper, we prove that there exists a point of Rd that belongs to the convex hull of d+1 points v0,…,vd with probability at leas where each point vi is sampled independently according to probability measure mi.

Original languageEnglish (US)
Article numberP4.39
JournalElectronic Journal of Combinatorics
Issue number4
StatePublished - Nov 20 2014
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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