Geometric & Functional Analysis GAFA

, Volume 15, Issue 6, pp 1284–1318 | Cite as

Sharp concentration of random polytopes

Original Paper


We prove that key functionals (such as the volume and the number of vertices) of a random polytope is strongly concentrated, using a martingale method. As applications, we derive new estimates for high moments and the speed of convergence of these functionals.


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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  1. 1.Department of MathematicsUCSDLa JollaUSA
  2. 2.Department of MathematicsRutgers, The State University of New JerseyRutgersUSA

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