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BEGIN:VEVENT
SUMMARY:Olivier Guedon (Marne-la-Vallée)
DTSTART:20200519T143000Z
DTEND:20200519T153000Z
DTSTAMP:20260423T035920Z
UID:OAGAS/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/11/">F
 loating bodies and random polytopes</a>\nby Olivier Guedon (Marne-la-Vall
 ée) as part of Online asymptotic geometric analysis seminar\n\n\nAbstract
 \nI will present some results about the geometry of centrally-symmetric ra
 ndom polytopes\, generated by $N$ independent copies of a random vector $X
 $ taking values in $\\R^n$. Under minimal assumptions on $X$\, for $N \\gt
 rsim n$ and with high probability\, the polytope contains a deterministic 
 set that is naturally associated with the random vector---namely\, the pol
 ar of a certain floating body. This solves the long-standing question on w
 hether such a random polytope contains a canonical body. This is joint wor
 k with F. Krahmer\, C. Kummerle\, S. Mendelson and H\; Rauhut.\n
LOCATION:https://researchseminars.org/talk/OAGAS/11/
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